Properties of the Number 37480

Thirty-Seven Thousand Four Hundred Eighty

Basics

Value: 37479 → 37480 → 37481

Parity: even

Prime: No

Previous Prime: 37463

Next Prime: 37483

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5 × 937

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 937, 1874

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001001101000

Octal: 111150

Duodecimal: 19834

Hexadecimal: 9268

Square: 1404750400

Square Root: 193.59752064528098

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 different ways to select 4 disjoint subsets from {1..n} with equal element sum. A164949

Expansion of ∏_k>=1 1/(1-x^k+3)^k. A263359

Triangular array generated by its row sums: T(n,0)=1 for n >= 0, T(1,1)=2, T(n,k)=T(n,k-1)+d·r(n-k) for k=2,3,...,n, d=(-1)^k+1, n >= 2, r(h)=sum of the numbers in row h of T. A54098

Susceptibility series H₃ for 2-dimensional Ising model (divided by 2). A54410

Expansion of (1/(1 - x))*∏_k>=1 (1 + k·x^k). A302831

Numbers in A086473 corresponding to the unique product of two numbers having the unique sum of A086533. A86860

50-gonal numbers: a(n) = 48·n*(n-1)/2 + n. A261343

Sum{T(n,k): k=0,1,...,n}, array T as in A054098. A54099

Convolution square of A285349. A285350

Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,2. A37480