Properties of the Number 27288

Twenty-Seven Thousand Two Hundred Eighty-Eight

Basics

Value: 27287 → 27288 → 27289

Parity: even

Prime: No

Previous Prime: 27283

Next Prime: 27299

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 379

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010011000

Octal: 65230

Duodecimal: 13960

Hexadecimal: 6a98

Square: 744634944

Square Root: 165.19079877523444

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

The number of vertices formed on an isosceles triangle by straight line segments mutually connecting all vertices and all points that divide the two equal length sides into n equal parts; the base of the triangle contains no points other than its vertices. A333026

Number of fixed polyominoes with 2n-1 cells and width and height both equal to n. A334551

Weight enumerator of [64,45,8] extended BCH code. A109481

Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally and vertically. A254982

Array read by antidiagonals: T(m,n) is the number of fixed polyominoes that have a width of m and height of n and m + n - 1 cells. A334552

a(n) = ∑_{k=0..floor(n/2)} T(n,k) * T(n,k+1), with T given by A026009. A27288