48793824 has 144 divisors (see below), whose sum is σ = 150630480. Its totient is φ = 14929920.

The previous prime is 48793793. The next prime is 48793831. The reversal of 48793824 is 42839784.

48793824 is a `hidden beast` number, since 487 + 93 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 48793824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202344 + ... + 202584.

It is an arithmetic number, because the mean of its divisors is an integer number (1046045).

Almost surely, 2^48793824 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 48793824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75315240).

48793824 is an abundant number, since it is smaller than the sum of its proper divisors (101836656).

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

48793824 is a wasteful number, since it uses less digits than its factorization.

48793824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 48793824 is about 6985.2576187282. The cubic root of 48793824 is about 365.4166106827.

The spelling of 48793824 in words is "forty-eight million, seven hundred ninety-three thousand, eight hundred twenty-four".