Properties of the Number 51940

Fifty-One Thousand Nine Hundred Forty

Basics

Value: 51939 → 51940 → 51941

Parity: even

Prime: No

Previous Prime: 51929

Next Prime: 51941

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 7 ² × 53

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101011100100

Octal: 145344

Duodecimal: 26084

Hexadecimal: cae4

Square: 2697763600

Square Root: 227.90348834539589

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) = ∑_i=1..n C(i+2,3)³. A86021

Number of inequivalent ways to color vertices of a regular tetrahedron using <= n colors. A6008

Cyclotomic polynomials Phi_n at x=φ, floored down (where φ = τ = (sqrt(5)+1)/2). A63703

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 181", based on the 5-celled von Neumann neighborhood. A270628

Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281398

Number of 7Xn 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281406

a(n) = (-1)^n-1 + ∑_{d∣n, d>1} a(n/d)^d. A305572

Numbers k that divide the k-th Franel number. A372940

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281400

Truncated triangular numbers: n*(n+1)/2 - 3·t*(t+1)/2 with t=4. A51940