49831632 has 120 divisors (see below), whose sum is σ = 150109440. Its totient is φ = 15811200.

The previous prime is 49831619. The next prime is 49831633. The reversal of 49831632 is 23613894.

49831632 is a `hidden beast` number, since 498 + 3 + 163 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49831633) 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, 816882 + ... + 816942.

It is an arithmetic number, because the mean of its divisors is an integer number (1250912).

Almost surely, 2^49831632 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 49831632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75054720).

49831632 is an abundant number, since it is smaller than the sum of its proper divisors (100277808).

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

49831632 is a wasteful number, since it uses less digits than its factorization.

49831632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 97 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 49831632 is about 7059.1523570468. The cubic root of 49831632 is about 367.9891694985.

The spelling of 49831632 in words is "forty-nine million, eight hundred thirty-one thousand, six hundred thirty-two".