Properties of the Number 57753

Fifty-Seven Thousand Seven Hundred Fifty-Three

Basics

Value: 57752 → 57753 → 57754

Parity: odd

Prime: No

Previous Prime: 57751

Next Prime: 57773

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 23 × 31

Divisors: 1, 3, 9, 23, 27, 31, 69, 81, 93, 207

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000110011001

Octal: 160631

Duodecimal: 29509

Hexadecimal: e199

Square: 3335409009

Square Root: 240.3185386107364

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

Apéry-like numbers ∑_k=0..n ∑_l=0..n (C(n,k)²*C(n,l)*C(k,l)*C(k+l,n)). A290576

Monotonic ordering of nonnegative differences 3ⁱ-6^j, for 40>= i>=0, j>=0. A192151

The first 10 digits of the fifth root of n contain the digits 0-9. A119520

a(n) = (1/11) * ∑_k=0..n-1 binomial(11·n,11·k+1). A387754

Total area of all polyominoes with perimeter 2n. A57753

a(n) = ∑_{k = 0..n} (-4)^n-k*binomial(n,k)*binomial(3·n+k,k)*binomial(2·k,k). A363987