48533832 has 72 divisors (see below), whose sum is σ = 135065970. Its totient is φ = 15744000.

The previous prime is 48533783. The next prime is 48533867. The reversal of 48533832 is 23833584.

48533832 is a `hidden beast` number, since 48 + 533 + 83 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32421636 + 16112196 = 5694^2 + 4014^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120832 + ... + 121232.

Almost surely, 2^48533832 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 48533832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67532985).

48533832 is an abundant number, since it is smaller than the sum of its proper divisors (86532138).

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

48533832 is a wasteful number, since it uses less digits than its factorization.

48533832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 447 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 48533832 is about 6966.6227111851. The cubic root of 48533832 is about 364.7664284087.

The spelling of 48533832 in words is "forty-eight million, five hundred thirty-three thousand, eight hundred thirty-two".