Properties of the Number 40800

Forty Thousand Eight Hundred

Basics

Value: 40799 → 40800 → 40801

Parity: even

Prime: No

Previous Prime: 40787

Next Prime: 40801

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 ² × 17

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001111101100000

Octal: 117540

Duodecimal: 1B740

Hexadecimal: 9f60

Square: 1664640000

Square Root: 201.99009876724156

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

Maximal determinant of an n X n matrix using the integers 1 to n². A85000

Number of nonisomorphic proper colorings of partition star graph using five colors. A297569

Numbers less than the maximum possible determinant A085000(4)=40800 not occurring as determinant of a 4 X 4 matrix with elements 1..16. A88237

Number of primitive (aperiodic) palindromes using exactly four different symbols. A56465

Row sums of the table A047916. A64649

Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n. A97696

Place two n-gons with radii 1 and 2 concentrically, forming an annular area between them. Connect all the vertices with line segments that lie entirely within that area. Then a(n) is the number of edges in that figure. A337702

Aliquot-like sequence based on the largest aliquot divisor of the sum of divisors of n (A371418) that starts with 222. A371423

Expansion of (1-x)^-1/(1+2·x²-x³). A77892

Numbers with prime factorization pqr^2s^5. A190293