49532832 has 144 divisors (see below), whose sum is σ = 152373312. Its totient is φ = 15206400.

The previous prime is 49532827. The next prime is 49532851. The reversal of 49532832 is 23823594.

49532832 is a `hidden beast` number, since 49 + 532 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (51840) is a multiple of the sum of its prime divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327957 + ... + 328107.

It is an arithmetic number, because the mean of its divisors is an integer number (1058148).

Almost surely, 2^49532832 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 49532832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76186656).

49532832 is an abundant number, since it is smaller than the sum of its proper divisors (102840480).

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

49532832 is a wasteful number, since it uses less digits than its factorization.

49532832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 49532832 is about 7037.9565216048. The cubic root of 49532832 is about 367.2521833366.

The spelling of 49532832 in words is "forty-nine million, five hundred thirty-two thousand, eight hundred thirty-two".