Properties of the Number 48037

Forty-Eight Thousand Thirty-Seven

Basics

Value: 48036 → 48037 → 48038

Parity: odd

Prime: No

Previous Prime: 48029

Next Prime: 48049

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 11 ² × 397

Divisors: 1, 11, 121, 397, 4367, 48037

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011101110100101

Octal: 135645

Duodecimal: 23971

Hexadecimal: bba5

Square: 2307553369

Square Root: 219.17344729688404

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 primes of the form (x+1)⁵ - x⁵ less than 10ⁿ. A221846

Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y>2z. A212504

a(n) = (n+1)*(n+2)²*(n+3)*(7·n² + 23·n + 20)/240. A114240

Number of nX7 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302426

Number of 7Xn 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302432

Number of n X n 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302421

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302427

Number of (n+2) X (1+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3 X 3 subblock summing to 4 or more. A251854

Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-3)/3. A48037