49981624 has 64 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 18988800.

The previous prime is 49981577. The next prime is 49981637. The reversal of 49981624 is 42618994.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24267 + ... + 26245.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^49981624 is an apocalyptic number.

49981624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49981624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

49981624 is an abundant number, since it is smaller than the sum of its proper divisors (69768776).

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

49981624 is a wasteful number, since it uses less digits than its factorization.

49981624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2040 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 49981624 is about 7069.7683130354. The cubic root of 49981624 is about 368.3580124921.

It can be divided in two parts, 49981 and 624, that added together give a palindrome (50605).

The spelling of 49981624 in words is "forty-nine million, nine hundred eighty-one thousand, six hundred twenty-four".