48079152 has 120 divisors (see below), whose sum is σ = 148561920. Its totient is φ = 14394240.

The previous prime is 48079151. The next prime is 48079181. The reversal of 48079152 is 25197084.

It is a super-3 number, since 3×48079152³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48079151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201049 + ... + 201287.

It is an arithmetic number, because the mean of its divisors is an integer number (1238016).

Almost surely, 2^48079152 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 48079152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280960).

48079152 is an abundant number, since it is smaller than the sum of its proper divisors (100482768).

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

48079152 is a wasteful number, since it uses less digits than its factorization.

48079152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 48079152 is about 6933.9131808813. The cubic root of 48079152 is about 363.6237709882.

The spelling of 48079152 in words is "forty-eight million, seventy-nine thousand, one hundred fifty-two".