Properties of the Number 56448

Fifty-Six Thousand Four Hundred Forty-Eight

Basics

Value: 56447 → 56448 → 56449

Parity: even

Prime: No

Previous Prime: 56443

Next Prime: 56453

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ² × 7 ²

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110010000000

Octal: 156200

Duodecimal: 28800

Hexadecimal: dc80

Square: 3186376704

Square Root: 237.58787847867995

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

Signed double Pochhammer triangle: expansion of x(x-2)(x-4)..(x-2n+2). A39683

Number of ways of writing n as a sum of 8 squares. A143

Fourier coefficients of E_0,4. A35016

Irregular triangle read by rows of normalized Girard-Waring formula (cf. A210258), for m=8 data values. A288188

Square array read by antidiagonals: row n lists n-gonal pyramidal numbers that are products of smaller n-gonal pyramidal numbers. A374498

θ series of {D₈}* lattice. A8427

Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k·n; sequence gives the (3,k)-perfect numbers. A19292

a(0) = 1; for n>0, a(n) = 16 times sum of cubes of divisors of n. A92820

a(n+1) = 2·a(n) + 16·a(n-1), a(0)=0, a(1)=1. A161007

θ series of A₆ lattice. A8446