Properties of the Number 28788

Twenty-Eight Thousand Seven Hundred Eighty-Eight

Basics

Value: 28787 → 28788 → 28789

Parity: even

Prime: No

Previous Prime: 28771

Next Prime: 28789

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 2399

Divisors: 1, 2, 3, 4, 6, 12, 2399, 4798, 7197, 9596

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111000001110100

Octal: 70164

Duodecimal: 147B0

Hexadecimal: 7074

Square: 828748944

Square Root: 169.6702684620968

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

G.f.: ∑_n>=0 (n+1) * (x + xⁿ)ⁿ. A325997

Number of partitions of n that contain at least one composite part. A353188

Number of partitions of n into parts that are neither all squarefree, nor all not squarefree. A117395

Spherical growth of the Lamplighter group: number of elements in the Lamplighter group Z wr Z of length n with respect to the standard generating set {a,t}. A294782

Numbers k such that k and k² use only the digits 2, 4, 7, 8 and 9. A137107

12 times the total number of smallest parts in all partitions of n, with a(0) = 0. A211609

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254903

Number of 7 X n 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero. A301796

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254907

Nonsquares mod 75. A28788