Properties of the Number 52524

Fifty-Two Thousand Five Hundred Twenty-Four

Basics

Value: 52523 → 52524 → 52525

Parity: even

Prime: No

Previous Prime: 52517

Next Prime: 52529

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 1459

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 1459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100110100101100

Octal: 146454

Duodecimal: 26490

Hexadecimal: cd2c

Square: 2758770576

Square Root: 229.18115105741134

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

T(n,k)=Number of nXk arrays of permutations of 0..n·k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 7. A264818

a(n) = [xⁿ] (1 - 2·x)/(1 - 8·x + 4·x²)^3/2. A331323

a(n) = [ a(n-1)/a(1) + a(n-3)/a(3) + a(n-5)/a(5) + ... ], for n >= 3. A22859

Number of compositions of n with difference -3 between the number of odd parts and the number of even parts, both counted without multiplicity. A242838

Number of 2Xn arrays of permutations of 0..n·2-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 7. A264819

Square array T(n,k), n >= 0, k >= 0, read by descending antidiagonals, where column k is the expansion of (1 - (k-3)*x)/(1 - 2*(k-1)*x + ((k-3)*x)²)^3/2. A331511

Number of ordered labeled rooted trees on n nodes with non-leaf nodes having more than two children. A52524

A000168(n+1) - A000139(n). A359126