Properties of the Number 48000

Forty-Eight Thousand

Basics

Value: 47999 → 48000 → 48001

Parity: even

Prime: No

Previous Prime: 47981

Next Prime: 48017

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁷ × 3 × 5 ³

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1011101110000000

Octal: 135600

Duodecimal: 23940

Hexadecimal: bb80

Square: 2304000000

Square Root: 219.08902300206645

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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 primitive polynomials of degree n over GF(4). A27695

a(1) = 2, a(n+1) > a(n) is the smallest multiple of a(n) using only even digits. A78222

Number of square divisors of n!. A55993

a(n) = 30·n². A244636

a(n) = ∑_d∣n Moebius(n/d)*d^b-1/φ(n) for b = 5. A160891

a(n) = n³ if n odd, 3·n³/4 if n even. A309337

Minimal m > 0 such that Fibonacci(m) == 0 (mod n³). A132633

Numbers n such that n² is a sum of 2 and also of 4 consecutive primes. A252066

Langton's ant on a three-dimensional grid: iterations where the ant passes through the origin. A308563

For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least five digits with a(k). Lexicographically first sequence of positive integers without duplicate terms having this property. A326640