Properties of the Number 49770

Forty-Nine Thousand Seven Hundred Seventy

Basics

Value: 49769 → 49770 → 49771

Parity: even

Prime: No

Previous Prime: 49757

Next Prime: 49783

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 7 × 79

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100001001101010

Octal: 141152

Duodecimal: 24976

Hexadecimal: c26a

Square: 2477052900

Square Root: 223.0919093109385

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

Least triangular number t such that t = prime(n)*triangular(m) for some m>0, or 0 if no such t exists. A225503

Numbers n for which 2 < A257993(A276086(A276086(n))) < A257993(n), where A276086 converts the primorial base expansion of n into its prime product form, and A257993 returns the index of the least prime not present in its argument. A328762

a(n) = (2·n³ + 5·n² - 7·n)/2. A162261

Triangular numbers that are sandwiched between two semiprimes; or triangular numbers t such that t-1 and t+1 are both semiprime. A121898

Semiperimeter of the unique primitive Pythagorean triple whose inradius is the n-th prime and whose short leg is an odd number. A382070

Triangular sequence defined by T(n, m) = (r^n-m*q^m + r^m*q^n-m)*b(n), where b(n) = coefficients of p(x, n) = 2ⁿ*(1-x)ⁿ⁺¹ * LerchPhi(x, -n, 1/2), and r=2, q=3. A154696

Triangular numbers k whose divisors can be partitioned into three disjoint sets whose sums are all σ(k)/3. A206025

Primitive terms of A023197 that are of the form 4u+2. A388020

Triangular numbers which are 6-almost primes. A76580

Triangular numbers for which the sum of the digits is a cube. A117803