Properties of the Number 35992

Thirty-Five Thousand Nine Hundred Ninety-Two

Basics

Value: 35991 → 35992 → 35993

Parity: even

Prime: No

Previous Prime: 35983

Next Prime: 35993

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 11 × 409

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 409, 818

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010011000

Octal: 106230

Duodecimal: 189B4

Hexadecimal: 8c98

Square: 1295424064

Square Root: 189.71557658769086

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 partitions of n such that the least part occurs at least twice. A117989

Number of intersection points of diagonals of an n-gon in general position, plus number of vertices. A14626

Number of partitions of n such that m(greatest part) < m(1), where m = multiplicity. A240076

a(n) = ∑_y=1..n ∑_x=1..n floor((x^k + y^k)^1/k) with k = 2. A211791

a(n) = A007678(2·n)/(2·n). A341734

Triangle defined by T(n,k) = ∑_j>=0 C(j+k, k) * C((j+k)*k, n-k) / 2^j+k+1, for n>=0, k = 0..n, as read by rows. A300280

a(n) is the number of positive integer solutions of n·x*y·z*v·w = (x + n) * (y + n) * (z + n) * (v + n) * (w + n), x <= y <= z <= v <= w. A381644

a(n) = ((4 + sqrt 6)ⁿ + (4 - sqrt 6)ⁿ)/2. A143648

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251900

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251905