Properties of the Number 28764

Twenty-Eight Thousand Seven Hundred Sixty-Four

Basics

Value: 28763 → 28764 → 28765

Parity: even

Prime: No

Previous Prime: 28759

Next Prime: 28771

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 17 × 47

Divisors: 1, 2, 3, 4, 6, 9, 12, 17, 18, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000001011100

Octal: 70134

Duodecimal: 14790

Hexadecimal: 705c

Square: 827367696

Square Root: 169.59952830123083

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

Triangle of coefficients T(n,k) of xⁿ*y^k in g.f. A(x,y) satisfying y = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (y·A(x,y) + x^n-1)ⁿ⁺¹. A359670

a(n) = n*(n+1)*(n+2)*(n+3)*(3·n+2)/120. A51836

Numbers k such that the digits of σ(k) are a permutation of those of k, in base 10. A115920

Number of compositions of n avoiding the pattern 1111. A232464

Triangle giving coefficients of ménage hit polynomials. A58057

Sum over all partitions of n of the bitwise XOR of the parts. A306903

The number of free polyominoes of width 2 and height n. A335711

a(n) = number of (s(0), s(1), ..., s(2n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n, s(0) = 2, s(2n) = 6. Also a(n) = T(2n,n-2), where T is the array defined in A026009. A26014

Least positive integer k such that prime(k·n) has the form p² - 2 with p prime, or 0 if no such k exists. A253257

Triangle read by rows: coefficients of polynomials P_n(x) arising from RNA combinatorics. A270791