49844032 has 112 divisors (see below), whose sum is σ = 121074688. Its totient is φ = 19906560.

The previous prime is 49844029. The next prime is 49844057. The reversal of 49844032 is 23044894.

It is a tau number, because it is divible by the number of its divisors (112).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 49844032 = 20³ + 368³ = 134³ + 362³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513808 + ... + 513904.

It is an arithmetic number, because the mean of its divisors is an integer number (1081024).

Almost surely, 2^49844032 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 49844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60537344).

49844032 is an abundant number, since it is smaller than the sum of its proper divisors (71230656).

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

49844032 is a wasteful number, since it uses less digits than its factorization.

49844032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 49844032 is about 7060.0305948346. The cubic root of 49844032 is about 368.0196901878.

The spelling of 49844032 in words is "forty-nine million, eight hundred forty-four thousand, thirty-two".