48733824 has 64 divisors (see below), whose sum is σ = 130356000. Its totient is φ = 16131072.

The previous prime is 48733807. The next prime is 48733831. The reversal of 48733824 is 42833784.

48733824 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 (64).

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 7 ways as a sum of consecutive naturals, for example, 68382 + ... + 69090.

Almost surely, 2^48733824 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 48733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65178000).

48733824 is an abundant number, since it is smaller than the sum of its proper divisors (81622176).

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

48733824 is a wasteful number, since it uses less digits than its factorization.

48733824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 48733824 is about 6980.9615383556. The cubic root of 48733824 is about 365.2667693860.

The spelling of 48733824 in words is "forty-eight million, seven hundred thirty-three thousand, eight hundred twenty-four".