Properties of the Number 36892

Thirty-Six Thousand Eight Hundred Ninety-Two

Basics

Value: 36891 → 36892 → 36893

Parity: even

Prime: No

Previous Prime: 36887

Next Prime: 36899

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 23 × 401

Divisors: 1, 2, 4, 23, 46, 92, 401, 802, 1604, 9223

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000000011100

Octal: 110034

Duodecimal: 19424

Hexadecimal: 901c

Square: 1361019664

Square Root: 192.07290282598427

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) = number of partitions p of n such that the least multiplicity of the parts of p is a part of p. A365614

Number of pairs (λ,μ) of partitions λ of n and μ of three with μ <= λ (by diagram containment). A303853

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252377

Number of 3Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. A301907

Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(0,5) = cn(2,5) = cn(3,5). A36892

Number of tilings of a 5 X n rectangle using n pentominoes of shapes P, X, Y. A343529

a(1)=2. For n>=2, a(n) = smallest integer > a(n-1) that is not coprime to n but is coprime to (n+1). A139557

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,0,2,1,3 for x=0,1,2,3,4. A196714