49918752 has 144 divisors (see below), whose sum is σ = 155937600. Its totient is φ = 15054336.

The previous prime is 49918741. The next prime is 49918769. The reversal of 49918752 is 25781994.

49918752 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 (144).

It is a junction number, because it is equal to n+sod(n) for n = 49918698 and 49918707.

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 23 ways as a sum of consecutive naturals, for example, 250749 + ... + 250947.

It is an arithmetic number, because the mean of its divisors is an integer number (1082900).

Almost surely, 2^49918752 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 49918752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77968800).

49918752 is an abundant number, since it is smaller than the sum of its proper divisors (106018848).

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

49918752 is a wasteful number, since it uses less digits than its factorization.

49918752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 49918752 is about 7065.3203749016. The cubic root of 49918752 is about 368.2034948870.

The spelling of 49918752 in words is "forty-nine million, nine hundred eighteen thousand, seven hundred fifty-two".