Properties of the Number 45329

Forty-Five Thousand Three Hundred Twenty-Nine

Basics

Value: 45328 → 45329 → 45330

Parity: odd

Prime: Yes

Previous Prime: 45319

Next Prime: 45337

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 45329

Divisors: 1, 45329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000100010001

Octal: 130421

Duodecimal: 22295

Hexadecimal: b111

Square: 2054718241

Square Root: 212.90608258102915

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of perfect-power divisors of n!. A336416

Smallest prime p such that n is a solution mod p of x⁴ = 2, or 0 if no such prime exists. A65902

a(n) = p(n²*p(n)), where p(x) is the least prime > x. A378137

A generalized partition function. A2600

Primes that can be constructed by concatenating two squares >= 4. A345314

Primes p such that p² - p - 1, p³ - p - 1 and p⁴ - p - 1 are all prime. A236173

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 421", based on the 5-celled von Neumann neighborhood. A272051

Primes starting a run of at least 4 consecutive primes with binary Hamming distance 1. A392914

Least positive integer m such that m + n divides prime(m)² + prime(n)². A247975

Primes congruent to {0, 2, 3, 6} (mod 7). A45329