Properties of the Number 53856

Fifty-Three Thousand Eight Hundred Fifty-Six

Basics

Value: 53855 → 53856 → 53857

Parity: even

Prime: No

Previous Prime: 53849

Next Prime: 53857

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 11 × 17

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001001100000

Octal: 151140

Duodecimal: 27200

Hexadecimal: d260

Square: 2900468736

Square Root: 232.0689552697646

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

Coefficients of 1/sqrt(1-12·x+4·x²); also, a(n) is the central coefficient of (1+6·x+8·x²)ⁿ. A84773

A scaled Legendre triangle. A110124

Triangle, read by rows, of coefficients in powers of e.g.f. for A100065 such that, for each row n>=0, ∑_k=0..n T(n,k)/k! = [exp(n)] (integer floor of eⁿ). A100064

Numbers with prime factorization pqr^2s^5. A190293

Antidiagonal sums of the convolution array A213778. A213780

G.f.: (x+4·x³+x⁵)/((1-x)²*(1-x²)²*(1-x³)²). A83708

a(n) = ∏_{p prime, p <= n} floor(n/p). A309912

Expansion of e.g.f. tan(arctanh(x) * log(x+1)). A12700

arctanh(arctanh(x)*log(x+1))=2/2!*x²-3/3!*x³+16/4!*x⁴-50/5!*x⁵... A12705

A recursion triangle sequence based on the Eulerian numbers: A(n,k)=n·A(n-1,k-1)+k·Eulerian(n-1,k). A157743