49938624 has 84 divisors (see below), whose sum is σ = 144231360. Its totient is φ = 16519680.

The previous prime is 49938583. The next prime is 49938739. The reversal of 49938624 is 42683994.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49938624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104017 + ... + 104495.

It is an arithmetic number, because the mean of its divisors is an integer number (1717040).

Almost surely, 2^49938624 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 49938624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72115680).

49938624 is an abundant number, since it is smaller than the sum of its proper divisors (94292736).

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

49938624 is a wasteful number, since it uses less digits than its factorization.

49938624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 49938624 is about 7066.7265406269. The cubic root of 49938624 is about 368.2523473980.

The spelling of 49938624 in words is "forty-nine million, nine hundred thirty-eight thousand, six hundred twenty-four".