48017952 has 72 divisors (see below), whose sum is σ = 137660796. Its totient is φ = 15876096.

The previous prime is 48017941. The next prime is 48017953. The reversal of 48017952 is 25971084.

48017952 is a `hidden beast` number, since 480 + 179 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47941776 + 76176 = 6924^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48017953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38848 + ... + 40064.

Almost surely, 2^48017952 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 48017952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68830398).

48017952 is an abundant number, since it is smaller than the sum of its proper divisors (89642844).

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

48017952 is a wasteful number, since it uses less digits than its factorization.

48017952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1359 counting only the distinct ones).

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

The square root of 48017952 is about 6929.4986831660. The cubic root of 48017952 is about 363.4694197928.

The spelling of 48017952 in words is "forty-eight million, seventeen thousand, nine hundred fifty-two".