Properties of the Number 57291

Fifty-Seven Thousand Two Hundred Ninety-One

Basics

Value: 57290 → 57291 → 57292

Parity: odd

Prime: No

Previous Prime: 57287

Next Prime: 57301

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 ² × 113

Divisors: 1, 3, 13, 39, 113, 169, 339, 507, 1469, 4407

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111111001011

Octal: 157713

Duodecimal: 291A3

Hexadecimal: dfcb

Square: 3282258681

Square Root: 239.3553843137856

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

G.f.: x*(1 - x + x²)/((1-x)² * (1 - x - x²)). A104161

Triangular numbers such that the product of digits is also a (positive) triangular number. A69077

Numbers k such that σ(k-φ(k)) = φ(k). A70170

Numbers k such that 285·2^k + 1 is prime. A53359

Triangular numbers for which the product of the digits is a nonzero hexagonal number. A185211

Concatenation of triangular number k and its 10's complement is prime. A108970

Triangular numbers T such that T+10 is the next prime after T. A129540

Numbers k such that k | 12^k + 11^k + 10^k + 9^k + 8^k + 7^k + 6^k + 5^k + 4^k + 3^k + 2^k + 1^k. A57291