48883824 has 160 divisors (see below), whose sum is σ = 156180480. Its totient is φ = 14696640.

The previous prime is 48883817. The next prime is 48883837. The reversal of 48883824 is 42838884.

It is a happy number.

48883824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48883824.

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 31 ways as a sum of consecutive naturals, for example, 384849 + ... + 384975.

It is an arithmetic number, because the mean of its divisors is an integer number (976128).

Almost surely, 2^48883824 is an apocalyptic number.

48883824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48883824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78090240).

48883824 is an abundant number, since it is smaller than the sum of its proper divisors (107296656).

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

48883824 is a wasteful number, since it uses less digits than its factorization.

48883824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 48883824 is about 6991.6967897643. The cubic root of 48883824 is about 365.6411424826.

The spelling of 48883824 in words is "forty-eight million, eight hundred eighty-three thousand, eight hundred twenty-four".