Properties of the Number 35192

Thirty-Five Thousand One Hundred Ninety-Two

Basics

Value: 35191 → 35192 → 35193

Parity: even

Prime: No

Previous Prime: 35171

Next Prime: 35201

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 53 × 83

Divisors: 1, 2, 4, 8, 53, 83, 106, 166, 212, 332

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100101111000

Octal: 104570

Duodecimal: 18448

Hexadecimal: 8978

Square: 1238476864

Square Root: 187.59530910979623

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 twice-partitions of n into distinct constant partitions. A387179

Number of ways 2 domicules can be placed on an n X n square. A243464

Expansion of (1+x²)²/(1+x²-2x³+x⁴+x⁶). A99493

Number of n X 2 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 0,3,2,1,4 for x=0,1,2,3,4. A196072

Number of (n+2)X(1+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101. A260834

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^-s+Kronecker(m,p)*p^-2s)^-1 for m = 10. A35192

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101. A260841