49632384 has 64 divisors (see below), whose sum is σ = 139609440. Its totient is φ = 15568896.

The previous prime is 49632371. The next prime is 49632397. The reversal of 49632384 is 48323694.

It is an interprime number because it is at equal distance from previous prime (49632371) and next prime (49632397).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2727 + ... + 10329.

Almost surely, 2^49632384 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 49632384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69804720).

49632384 is an abundant number, since it is smaller than the sum of its proper divisors (89977056).

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

49632384 is a wasteful number, since it uses less digits than its factorization.

49632384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7625 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 49632384 is about 7045.0254790171. The cubic root of 49632384 is about 367.4980554296.

The spelling of 49632384 in words is "forty-nine million, six hundred thirty-two thousand, three hundred eighty-four".