49934976 has 128 divisors (see below), whose sum is σ = 163363200. Its totient is φ = 13160448.

The previous prime is 49934923. The next prime is 49934981. The reversal of 49934976 is 67943994.

49934976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 34230 + ... + 35658.

It is an arithmetic number, because the mean of its divisors is an integer number (1276275).

Almost surely, 2^49934976 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 49934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81681600).

49934976 is an abundant number, since it is smaller than the sum of its proper divisors (113428224).

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

49934976 is a wasteful number, since it uses less digits than its factorization.

49934976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1454 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 49934976 is about 7066.4684248923. The cubic root of 49934976 is about 368.2433802755.

The spelling of 49934976 in words is "forty-nine million, nine hundred thirty-four thousand, nine hundred seventy-six".