49933824 has 160 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 14966784.

The previous prime is 49933813. The next prime is 49933837. The reversal of 49933824 is 42833994.

It is a happy number.

49933824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (186624) is a multiple of the sum of its prime factors (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, 846307 + ... + 846365.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 2^49933824 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 49933824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

49933824 is an abundant number, since it is smaller than the sum of its proper divisors (97378176).

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

49933824 is a wasteful number, since it uses less digits than its factorization.

49933824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 49933824 is about 7066.3869127016. The cubic root of 49933824 is about 368.2405484619.

The spelling of 49933824 in words is "forty-nine million, nine hundred thirty-three thousand, eight hundred twenty-four".