48052032 has 56 divisors (see below), whose sum is σ = 145304256. Its totient is φ = 13728768.

The previous prime is 48051967. The next prime is 48052051. The reversal of 48052032 is 23025084.

48052032 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 48051993 and 48052011.

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 7 ways as a sum of consecutive naturals, for example, 16533 + ... + 19220.

Almost surely, 2^48052032 is an apocalyptic number.

48052032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48052032 is an abundant number, since it is smaller than the sum of its proper divisors (97252224).

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

48052032 is a wasteful number, since it uses less digits than its factorization.

48052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35775 (or 35765 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 48052032 is about 6931.9572993492. The cubic root of 48052032 is about 363.5553883939. Note that the first 3 decimals are identical.

The spelling of 48052032 in words is "forty-eight million, fifty-two thousand, thirty-two".