Properties of the Number 49824

Forty-Nine Thousand Eight Hundred Twenty-Four

Basics

Value: 49823 → 49824 → 49825

Parity: even

Prime: No

Previous Prime: 49823

Next Prime: 49831

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 173

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 1100001010100000

Octal: 141240

Duodecimal: 24A00

Hexadecimal: c2a0

Square: 2482430976

Square Root: 223.2129028528593

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 triangles in an n X n unit grid that have minimal possible area (of 1/2). A88658

Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 8·x + 2. A257618

a(n) = ∑_{i=1..n, j=1..n, gcd(i,j)=2} (n+1-i)*(n+1-j). A331761

Number of solutions to 1 +- 3 +- 6 +- ... +- n*(n+1)/2 == 0 mod n. A300307

Number of achiral rooted trees. A3241

Number of 6-ary search trees on n keys. A19500

Number of prime pairs below 10ⁿ having a difference of 48. A93978

The Riordan square of the large Schröder numbers, triangle read by rows, T(n, k) for 0 <= k <= n. A321623

Expansion of x*(x²+x-1)/(3·x⁶-4·x⁵+x⁴-3·x²+4·x-1). A193418

a(n) = number of 3's in n-th row of array T given by A049816. A49824