48074832 has 120 divisors (see below), whose sum is σ = 147617288. Its totient is φ = 14515200.

The previous prime is 48074809. The next prime is 48074839. The reversal of 48074832 is 23847084.

It can be written as a sum of positive squares in 4 ways, for example, as 9585216 + 38489616 = 3096^2 + 6204^2 .

It is a super-3 number, since 3×48074832³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (48074839) 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 23 ways as a sum of consecutive naturals, for example, 113982 + ... + 114402.

Almost surely, 2^48074832 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 48074832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73808644).

48074832 is an abundant number, since it is smaller than the sum of its proper divisors (99542456).

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

48074832 is a wasteful number, since it uses less digits than its factorization.

48074832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48074832 is about 6933.6016614744. The cubic root of 48074832 is about 363.6128799077.

The spelling of 48074832 in words is "forty-eight million, seventy-four thousand, eight hundred thirty-two".