90529 (number)
90,529 (ninety thousand five hundred twentynine) is an odd fivedigits prime number following 90528 and preceding 90530. In scientific notation, it is written as 9.0529 × 10^{4}. The sum of its digits is 25. It has a total of 1 prime factor and 2 positive divisors. There are 90,528 positive integers (up to 90529) that are relatively prime to 90529.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 25
 Digital Root 7
Name
Short name  90 thousand 529 

Full name  ninety thousand five hundred twentynine 
Notation
Scientific notation  9.0529 × 10^{4} 

Engineering notation  90.529 × 10^{3} 
Prime Factorization of 90529
Prime Factorization 90529
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  90529  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.413425520346  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 90,529 is 90529. Since it has a total of 1 prime factor, 90,529 is a prime number.
Divisors of 90529
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  90530  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  45265  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  300.88037490006  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999779078758  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 90,529 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 90,529) is 90,530, the average is 45,265.
Other Arithmetic Functions (n = 90529)
φ(n)  Euler Totient  90528  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  90528  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 8757  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 90,528 positive integers (less than 90,529) that are coprime with 90,529. And there are approximately 8,757 prime numbers less than or equal to 90,529.
Divisibility of 90529
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  4  1  5  1  7 
90,529 is not divisible by any number less than or equal to 9.
Classification of 90529
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (90529)
Base  System  Value 

2  Binary  10110000110100001 
3  Ternary  11121011221 
4  Quaternary  112012201 
5  Quinary  10344104 
6  Senary  1535041 
8  Octal  260641 
10  Decimal  90529 
12  Duodecimal  44481 
16  Hexadecimal  161a1 
20  Vigesimal  b669 
36  Base36  1xup 
Basic calculations (n = 90529)
Multiplication
n×yn×2  181058 

n×3  271587 
n×4  362116 
n×5  452645 
Division
n÷yn÷2  45264.500 

n÷3  30176.333 
n÷4  22632.250 
n÷5  18105.800 
Exponentiation
n^{y}n^{2}  8195499841 

n^{3}  741930405105889 
n^{4}  67166217643831025281 
n^{5}  6080490517078378887663649 
Nth Root
^{y}√n^{2}√n  300.88037490006 

^{3}√n  44.901678335023 
^{4}√n  17.345903692228 
^{5}√n  9.8029670893226 
90529 as geometric shapes
Circle
Radius = nDiameter  181058 

Circumference  568810.48267366 
Area  25746922092.982 
Sphere
Radius = nVolume  3.1077908135407E+15 

Surface area  102987688371.93 
Circumference  568810.48267366 
Square
Length = nPerimeter  362116 

Area  8195499841 
Diagonal  128027.33958807 
Cube
Length = nSurface area  49172999046 

Volume  741930405105889 
Space diagonal  156800.8275584 
Equilateral Triangle
Length = nPerimeter  271587 

Area  3548755529.5087 
Altitude  78400.413779201 
Triangular Pyramid
Length = nSurface area  14195022118.035 

Volume  87437336769809 
Height  73916.618974806 
Cryptographic Hash Functions
md5  655ae9c1b6ac0c4fc7769b145f98e39f 

sha1  115d87b9650df78d5142d5e3c6fdadf3870e1eac 
sha256  c5d99a80d7c17a11f1fe9fabc8a7e81d31dc3f7c6385b52362f49023c8e20bee 
sha512  8433873f7464f535fbfe32213bbec499307e6db5ad10ad374eccb020151c289c161cf28e14910b22a08c2ecb426f58e45c215483b7631388733df9cb1fcd04b0 
ripemd160  7e50fce43bf95288aefcb95252f9e5f90fe1c562 