49956676 has 144 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 17310720.

The previous prime is 49956661. The next prime is 49956703. The reversal of 49956676 is 67665994.

49956676 = T₁₅₅ + T₁₅₆ + ... + T₆₇₁.

49956676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062885 + ... + 1062931.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^49956676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49956676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

49956676 is an abundant number, since it is smaller than the sum of its proper divisors (74148284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49956676 is a wasteful number, since it uses less digits than its factorization.

49956676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 52.

The square root of 49956676 is about 7068.0036785503. The cubic root of 49956676 is about 368.2967144630.

Subtracting from 49956676 its sum of digits (52), we obtain a square (49956624 = 7068²).

It can be divided in two parts, 499 and 56676, that added together give a palindrome (57175).

The spelling of 49956676 in words is "forty-nine million, nine hundred fifty-six thousand, six hundred seventy-six".