Properties of the Number 57429

Fifty-Seven Thousand Four Hundred Twenty-Nine

Basics

Value: 57428 → 57429 → 57430

Parity: odd

Prime: No

Previous Prime: 57427

Next Prime: 57457

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 709

Divisors: 1, 3, 9, 27, 81, 709, 2127, 6381, 19143, 57429

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000001010101

Octal: 160125

Duodecimal: 29299

Hexadecimal: e055

Square: 3298090041

Square Root: 239.64348520249825

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

Self-convolution 6th power of A113672, where a(n) = A113672(n+1)/(n+1). A113666

a(n) = ∑_{k=0..floor(n/2)} binomial(n,k)² * binomial(n-k,k) * 2^k. A381482

Numbers n such that (1+i)ⁿ - 1 times its conjugate is prime. A57429

G.f. A(x) satisfies: [xⁿ⁺¹] A(x)^n² = 0 for n>=0. A229044

Number of nX4 0..1 arrays with every element unequal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317892