49488624 has 80 divisors (see below), whose sum is σ = 143636640. Its totient is φ = 16312320.

The previous prime is 49488619. The next prime is 49488631. The reversal of 49488624 is 42688494.

49488624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 49488624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41314 + ... + 42494.

It is an arithmetic number, because the mean of its divisors is an integer number (1795458).

Almost surely, 2^49488624 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 49488624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71818320).

49488624 is an abundant number, since it is smaller than the sum of its proper divisors (94148016).

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

49488624 is a wasteful number, since it uses less digits than its factorization.

49488624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1283 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 49488624 is about 7034.8151361638. The cubic root of 49488624 is about 367.1428934218.

The spelling of 49488624 in words is "forty-nine million, four hundred eighty-eight thousand, six hundred twenty-four".