49057632 has 72 divisors (see below), whose sum is σ = 150250464. Its totient is φ = 15093504.

The previous prime is 49057627. The next prime is 49057661. The reversal of 49057632 is 23675094.

49057632 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

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, 2808 + ... + 10295.

It is an arithmetic number, because the mean of its divisors is an integer number (2086812).

Almost surely, 2^49057632 is an apocalyptic number.

It is an amenable number.

49057632 is an abundant number, since it is smaller than the sum of its proper divisors (101192832).

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

49057632 is a wasteful number, since it uses less digits than its factorization.

49057632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132 (or 13121 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 49057632 is about 7004.1153616999. The cubic root of 49057632 is about 366.0739794915.

The spelling of 49057632 in words is "forty-nine million, fifty-seven thousand, six hundred thirty-two".