Properties of the Number -38688

Thirty-Eight Thousand Six Hundred Eighty-Eight

Basics

Value: -38689 → -38688 → -38687

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 13 × 31

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1001011100100000

Octal: -113440

Duodecimal: -1A480

Hexadecimal: -9720

Square: 1496761344

Square Root: 196.69265365030796

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

a(n) is the number of prime powers k such that ceiling(log₂(k)) = n. A304521

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row divisible by 5 and column not divisible by 5, read as a binary number with top and left being the most significant bits. A262795

T(n,k)=4-loop graph coloring a rectangular array: number of nXk 0..8 arrays where 0..8 label nodes of a graph with edges 0,1 1,2 2,0 0,3 3,4 4,0 0,5 5,6 6,0 0,7 7,8 8,0 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223297

Irregular table read by rows: T(n,k) = number of k-gons, k >= 3, formed inside a triangle with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,m)/A006843(n,m), m = 1..A005728(n). A358951

Sum of divisors of floor(π*10ⁿ), π=3.14... A89285

Number of configurations of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square at one of the 8 non-corner boundary squares. A90165

Triangle read by rows: Cayley's numbers φ(m,n) (m,n>=0). Row m contains φ(m,0), φ(m-1,1), φ(m-2,2), ..., φ(0,m). A260338

Number of points on surface of truncated cube: a(n) = 46·n² + 2 for n > 0. A5911

Possible traces of n-step walks on 1-D lattice, ignoring translations. A48248

a(n) = n*(n+1)*(7·n² - n - 4)/4. A172077