Properties of the Number 47920

Forty-Seven Thousand Nine Hundred Twenty

Basics

Value: 47919 → 47920 → 47921

Parity: even

Prime: No

Previous Prime: 47917

Next Prime: 47933

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 5 × 599

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101100110000

Octal: 135460

Duodecimal: 23894

Hexadecimal: bb30

Square: 2296326400

Square Root: 218.90637268019404

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

T(n,k)=Number of nXk 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order. A240783

Coordination sequence for A₄ lattice. A8383

Expansion of exp(2·x)*(1+x)/(1-x)². A82029

Number of integer sequences of length n+1 with sum zero and sum of absolute values 32. A157065

O.g.f.: exp( ∑_n>=1 A067692(n)*xⁿ/n ), where A067692(n) = [σ(n)² + σ(n,2)]/2. A180608

Number of nondecreasing arrangements of n numbers in -3..3 with sum zero and sum of squares not greater than n·12/3. A183921

Number of nX6 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order. A240781

Number of 5Xn 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order. A240786

Number of ordered 5-tuples of integers from [ 2,n ] with no common factors among quadruples. A15655

Triangular array formed from successive differences of factorial numbers. A47920