Properties of the Number 57200

Fifty-Seven Thousand Two Hundred

Basics

Value: 57199 → 57200 → 57201

Parity: even

Prime: No

Previous Prime: 57193

Next Prime: 57203

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 5 ² × 11 × 13

Divisors: 1, 2, 4, 5, 8, 10, 11, 13, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111101110000

Octal: 157560

Duodecimal: 29128

Hexadecimal: df70

Square: 3271840000

Square Root: 239.16521486202797

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

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹¹ in powers of x. A47649

Number of ways to partition the set of vertices of a convex {n+8}-gon into 3 non-intersecting polygons. A350116

a(n) = the hypergraph Catalan number C₃(n). A362168

Array read by antidiagonals: A(n,k) = the hypergraph Catalan number C_k(n), n >= 0, k >= 1. A369288

Triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} defined by a(0,0)=1, a(n,0)=A000670(n), a(n,n)=A000629(n), a(n,k) = a(n,k-1) + a(n-1,k-1); a(n+1,0) = ∑_k=0..n a(n,k). A73146

G.f.: (1+x)/∏_m>0 (1 - x^m). A84376

a(n) = ∑_k=1..n floor(n/(2·k-1))³. A350144

Non-palindromic numbers such that either x=q1.Rev[x] or Rev[x]=q2.x, where R[x]=A004086[x] and q1 or q2 are integers not divisible by 10. A71687

Nonequivalent ways to place two different markers (e.g., a pair of Go stones, black and white) on an n X n grid. A242709

Numbers that are not palindromes even after removing trailing zeros and are divisible by their reverses. A345361