Properties of the Number 56728

Fifty-Six Thousand Seven Hundred Twenty-Eight

Basics

Value: 56727 → 56728 → 56729

Parity: even

Prime: No

Previous Prime: 56713

Next Prime: 56731

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 7 × 1013

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 1013, 2026

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101110110011000

Octal: 156630

Duodecimal: 289B4

Hexadecimal: dd98

Square: 3218065984

Square Root: 238.17640521260708

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

Number of integer partitions of n such that every pair of distinct parts has a different quotient. A325853

T(n,k) = 1/k! * ∑_i=0..k (-1)^k-i *C(k,i) * A258219(n,i); triangle T(n,k), n>=0, 0<=k<=n, read by rows. A258220

Alternating row sums of triangle A291844. A294159

Number of 3 X n 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A279710

G.f.: ∑_n>=1 ∑_k=0..n binomial(n,k) * x^k² * (xⁿ - x^k)^n-k, ignoring the constant term. A292808

Number of strings of numbers x(i=1..n) in 0..8 with sum i³*x(i)² equal to n³*64. A184302

T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i³*x(i)² equal to n³*k². A184303

Palindromic primes using only two distinct digits and only the exterior digit is different. A56728

Numbers that are sums of 2,4,6,8 consecutive primes. A287900