Properties of the Number 48020

Forty-Eight Thousand Twenty

Basics

Value: 48019 → 48020 → 48021

Parity: even

Prime: No

Previous Prime: 48017

Next Prime: 48023

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 7 ⁴

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1011101110010100

Octal: 135624

Duodecimal: 23958

Hexadecimal: bb94

Square: 2305920400

Square Root: 219.1346617949794

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) = ∑_{d >= 1, d divides n} (-1)^n-d*d³. A8457

a(n) = ∑_{d divides n} (-1)^n/d+1*d³. A78307

G.f. satisfies: A(x) = 1/(1 + x·A(x²)) and also the continued fraction: 1 + x·A(x³) = [1; 1/x, 1/x², 1/x⁴, 1/x⁸, ..., 1/x^{2^(n-1}), ...]. A101912

a(n) = ∑_d∣n (-1)^d-1*d³. A138503

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+2401)² = y². A118630

Number of all polyhedra (tetrahedra of any orientation and octahedra) of any size, formed when intersecting a regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts. A216175

The first Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1). A292344

Array t(n,k) = k²ⁿ*(k²ⁿ-1)*BernoulliB(2n)/(2n), n>=1, k>=2, absolute values read by ascending antidiagonals. A241066

Partition array in Abramowitz-Stegun order for the number of ways of putting n stones into a rectangular m X n grid of squares such that each of the m rows contains at least one stone. A258152

Numbers n such that P(13·n) is prime, where P(n) is the unrestricted partition number. A113518