Properties of the Number 57369

Fifty-Seven Thousand Three Hundred Sixty-Nine

Basics

Value: 57368 → 57369 → 57370

Parity: odd

Prime: No

Previous Prime: 57367

Next Prime: 57373

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 1471

Divisors: 1, 3, 13, 39, 1471, 4413, 19123, 57369

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000000011001

Octal: 160031

Duodecimal: 29249

Hexadecimal: e019

Square: 3291202161

Square Root: 239.51826652679333

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

a(n) is the number of nonnegative integers k less than 10ⁿ such that the decimal representation of k lacks the digit 1, at least one of digits 2,3,4,5 and at least one of digits 6,7,8,9. A125947

Expansion of 1 / (1 - x - x⁴ + x⁹) in powers of x. A233522

Expansion of (1 + x) / ((1 - x⁴) * (1 - x - x⁵)) in powers of x. A247907

Expansion of 1/(1-x⁴-x⁵-x⁶-x⁷-x⁸). A17830

Expansion of 1/(1-x-x²-x³+x⁵+x⁷). A257932

T(n,k)=Number of nondecreasing arrangements of n numbers in -k..k with sum zero and sum of squares less than n·k*(k+1)/3. A183935

Numbers k that can be expressed as k = w+x = y·z with w·x = (y+z)² where w, x, y, and z are all positive integers. A57369