Properties of the Number 28776

Twenty-Eight Thousand Seven Hundred Seventy-Six

Basics

Value: 28775 → 28776 → 28777

Parity: even

Prime: No

Previous Prime: 28771

Next Prime: 28789

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 11 × 109

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111000001101000

Octal: 70150

Duodecimal: 147A0

Hexadecimal: 7068

Square: 828058176

Square Root: 169.6349020691202

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

Numbers n = concat(a,b) such that φ(n) = φ(a) * φ(b), where φ = A000010. A147619

Sum of the prime parts in the partitions of n into 8 parts. A309469

Number of partitions of n such that the number of parts and the smallest part are coprime. A200928

Numbers k such that there is no prime p and index j < k such that A002182(k) = p·A002182(j). A272606

E.g.f.: ∑_n>=0 (W(x)ⁿ - 1)ⁿ * xⁿ / n!, where W(x) = exp(x·W(x)) = LambertW(-x)/(-x). A326267

Number of nonnegative solutions of x1² + x2² + ... + x12² = n. A45853

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X 2 array. A219621

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 1, -1), (1, -1, 0), (1, 0, 1)}. A148217

Number of planar n X n X n binary triangular grids with no more than 7 ones in any 4 X 4 X 4 subtriangle. A153532

G.f. A(x) satisfies: A(x)² = A( x² + 2·A(x)³ ), with A(0)=0, A'(0)=1. A271959