Properties of the Number 57728

Fifty-Seven Thousand Seven Hundred Twenty-Eight

Basics

Value: 57727 → 57728 → 57729

Parity: even

Prime: No

Previous Prime: 57727

Next Prime: 57731

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁷ × 11 × 41

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 41, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110000110000000

Octal: 160600

Duodecimal: 294A8

Hexadecimal: e180

Square: 3332521984

Square Root: 240.26651868289932

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 permutations of length n that avoid the pattern 321 and the mesh pattern (12, 277) or the same sequence for the mesh pattern (12, 337). A289604

Number of ways to place 2 queens on an n X n chessboard so that they attack each other. A144945

Numbers k such that k divides σ(A003961(k)), where A003961 is fully multiplicative with a(p) = nextprime(p), and σ is the sum of divisors function. A389469

a(n) = ∑_k=1..n k*(prime(k) - k). A110477

a(n) = [ (3rd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+2 positive integers congruent to 1 mod 3}. A24220

A triangular table of decreasing powers of two (with first column all ones). A57728

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2 or 3 king-move adjacent elements, with upper left element zero. A303727

a(n) = (2ⁿ - 1)⁵ - 2. A98879