Properties of the Number 52864

Fifty-Two Thousand Eight Hundred Sixty-Four

Basics

Value: 52863 → 52864 → 52865

Parity: even

Prime: No

Previous Prime: 52861

Next Prime: 52879

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁷ × 7 × 59

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111010000000

Octal: 147200

Duodecimal: 26714

Hexadecimal: ce80

Square: 2794602496

Square Root: 229.92172581119863

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

Growth series for affine Coxeter group (or affine Weyl group) D₄. A266759

Apply partial sum operator twice to sequence of squares of the first n primes. A157492

Expansion of (theta₃(z)*theta₃(7z) + theta₂(z)*theta₂(7z))⁴. A28596

Number of nX4 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2. A275500

Expansion of e.g.f. 1/( 1 - x·cos(sqrt(2)*x) ). A381345

2^2n-6 * C(n,3) - 2^n-2 * C(n,4). A8465

Number of permutations of length n that can be sorted in 2^n-1-1 steps of Elizalde and Winkler's homing algorithm. A173469

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2. A275504

E.g.f.: A'(x) = 1 + A(x)⁴, with A(0)=1. A258970

E.g.f.: (log(1-x))²/(1+log(1-x)). A52864