Properties of the Number 48032

Forty-Eight Thousand Thirty-Two

Basics

Value: 48031 → 48032 → 48033

Parity: even

Prime: No

Previous Prime: 48029

Next Prime: 48049

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 19 × 79

Divisors: 1, 2, 4, 8, 16, 19, 32, 38, 76, 79

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011101110100000

Octal: 135640

Duodecimal: 23968

Hexadecimal: bba0

Square: 2307073024

Square Root: 219.1620405088436

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 k such that (68·10^k + 7)/3 is prime. A270613

Number of n X n matrices with entries 0 and 1 and no 2 X 2 submatrix of form [ 1 1; 1 0 ]. A14235

a(n) = floor(C(n+8,8)/C(n+2,2)). A84631

Numbers k such that sopfr(k + sopfr(k)) = sopfr(k) + sopfr(sopfr(k)), where sopfr = A001414. A376851

Rectangular array T(n,m), read by upward antidiagonals: T(n,m) is the number of difunctional (regular) binary relations between an n-element set and an m-element set. A265417

Number of partitions of n in which the largest summand has frequency 1, the next largest summand has frequency at most 2, the third largest has frequency at most 3, etc. A244395

Expansion of g.f. A(x) satisfying A(x) = A(x³ + x⁴) / A(x²). A372529

Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000101. A259767

Number of rational polygons of denominator at most n having exactly one lattice point in their interior and primitive vertices, up to equivalence. A379894

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000101. A259770