49958784 has 96 divisors (see below), whose sum is σ = 152277840. Its totient is φ = 15667200.

The previous prime is 49958749. The next prime is 49958827. The reversal of 49958784 is 48785994.

49958784 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 (96).

It is a self number, because there is not a number n which added to its sum of digits gives 49958784.

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 11 ways as a sum of consecutive naturals, for example, 18309 + ... + 20859.

Almost surely, 2^49958784 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 49958784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76138920).

49958784 is an abundant number, since it is smaller than the sum of its proper divisors (102319056).

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

49958784 is a wasteful number, since it uses less digits than its factorization.

49958784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2573 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 49958784 is about 7068.1527997066. The cubic root of 49958784 is about 368.3018946752.

The spelling of 49958784 in words is "forty-nine million, nine hundred fifty-eight thousand, seven hundred eighty-four".