Properties of the Number 57645

Fifty-Seven Thousand Six Hundred Forty-Five

Basics

Value: 57644 → 57645 → 57646

Parity: odd

Prime: No

Previous Prime: 57641

Next Prime: 57649

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 7 × 61

Divisors: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000100101101

Octal: 160455

Duodecimal: 29439

Hexadecimal: e12d

Square: 3322946025

Square Root: 240.0937316966022

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

Numbers k such that φ(k) = φ(k+1). A1274

Odd numbers n such that σ(n) = σ(2·n-1). A275370

Expansion of e.g.f. exp(x²/2 * (1 + x)). A373740

Numbers k whose sum of divisors equals the sum of divisors of 2·k-1. A289738

Nonzero coefficients of the polynomials (x + d/dx)ⁿ x², in row-major order. A330209

Numbers n with the property that it is possible to write the base 2 expansion of n as concat(a₂,b₂), with a₂>0 and b₂>0 such that, converting a₂ and b₂ to base 10 as a and b, we have φ(a + b) = φ(n), where φ(n) is the Euler totient function of n. A259397

Initial prime in first sequence of n primes congruent to 2 modulo 9. A57645