Properties of the Number 48768

Forty-Eight Thousand Seven Hundred Sixty-Eight

Basics

Value: 48767 → 48768 → 48769

Parity: even

Prime: No

Previous Prime: 48767

Next Prime: 48779

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁷ × 3 × 127

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011111010000000

Octal: 137200

Duodecimal: 24280

Hexadecimal: be80

Square: 2378317824

Square Root: 220.83477986947617

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

Number of permutations with no hits on 2 main diagonals. A3471

Integers that are Rhonda numbers to base 18. A255735

Sets with a congruence property. A2703

a(n) = (1/n) * ∑_d∣n moebius(n/d) * Lucas(d)³, where Lucas(n) = A000204(n). A203854

Numbers k for which A306927(k) [= A001615(k)-k] is a multiple of A344705(k) [= A001615(k)-A001065(k)], and their quotient is nonnegative. A344700

Number of ways to choose n positive integers less than or equal to 2n such that none of the n integers divides another. A174094

a(n) = A324488(n)/n. A324489

Number T(n,k) of permutations of [n] having k points that are fixed or reflected; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A335872

Numbers n such that σ(n) = 4*(n-φ(n)). A68420

The number of sets of n positive integers strictly less than 2·n such that no integer in the set divides another. A192298