48013952 has 64 divisors (see below), whose sum is σ = 112069440. Its totient is φ = 20060160.

The previous prime is 48013943. The next prime is 48013991. The reversal of 48013952 is 25931084.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36083 + ... + 37389.

It is an arithmetic number, because the mean of its divisors is an integer number (1751085).

Almost surely, 2^48013952 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 48013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56034720).

48013952 is an abundant number, since it is smaller than the sum of its proper divisors (64055488).

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

48013952 is a wasteful number, since it uses less digits than its factorization.

48013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 48013952 is about 6929.2100559876. The cubic root of 48013952 is about 363.4593269144.

The spelling of 48013952 in words is "forty-eight million, thirteen thousand, nine hundred fifty-two".