Properties of the Number 4040

Four Thousand Forty

Basics

Value: 4039 → 4040 → 4041

Parity: even

Prime: No

Previous Prime: 4027

Next Prime: 4049

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 5 × 101

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 101, 202

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 111111001000

Octal: 7710

Duodecimal: 2408

Hexadecimal: fc8

Square: 16321600

Square Root: 63.56099432828282

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

Doublets: base-10 representation is the juxtaposition of two identical strings. A20338

'Eban' numbers (the letter 'e' is banned!). A6933

Number of 2 X n checkerboards (with at least one red square) in which the set of red squares is edge connected. A59020

Array read by antidiagonals: T(m,n) = number of nonzero m X n binary arrays with all 1's connected. A287151

Square array read by antidiagonals: T(m,n) = number of ways of creating a closed, simple loop on an m X n rectangular lattice. A231829

9-gonal (or enneagonal) pyramidal numbers: a(n) = n*(n+1)*(7·n-4)/6. A7584

Multiples of 8 with digit sum 8. A69543

Numbers k such that k³ divides 9^k² - 1. A177909

Numbers whose decimal expansion contains only 0's and 4's. A169967

a(2·k) = k*(10·k+2), a(2·k+1) = 10·k² + 18·k + 8, with k >= 0. A132356