Properties of the Number 52492

Fifty-Two Thousand Four Hundred Ninety-Two

Basics

Value: 52491 → 52492 → 52493

Parity: even

Prime: No

Previous Prime: 52489

Next Prime: 52501

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 11 × 1193

Divisors: 1, 2, 4, 11, 22, 44, 1193, 2386, 4772, 13123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100110100001100

Octal: 146414

Duodecimal: 26464

Hexadecimal: cd0c

Square: 2755410064

Square Root: 229.11132665147744

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

Binomial transform of τ(n) (see A000005). A101509

Number of integer partitions of n that can be partitioned into a set of sets. A382077

Least number·such that xⁿ has n digits equal to k. Case k = 6. A285453

Fermionic string states. A5309

a(n) = (1/(2n)) * ∑_d∣n φ(d) * 2^2n/d + (2^(n-4/2), if n is even). A58880

G.f.: A(x) = ( G(x)⁷ - G(x⁷) - 7·x*((1-x⁶)/(1-x))/(1-x⁷) )/(49·x²) where G(x) is the g.f. of A110635. A111584

Consider n·n chessboard. This sequence gives number of chess knight paths from left bottom corner of the board to the right top corner with minimal possible path length (shortest paths). A120399

Initial pile sizes that guarantee a win for player 2 in a variant of Fibonacci Nim where the players may not take one stone. A52492