49785624 has 128 divisors (see below), whose sum is σ = 166464000. Its totient is φ = 13468032.

The previous prime is 49785601. The next prime is 49785629. The reversal of 49785624 is 42658794.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49785624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49785629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27862 + ... + 29594.

It is an arithmetic number, because the mean of its divisors is an integer number (1300500).

Almost surely, 2^49785624 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 49785624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83232000).

49785624 is an abundant number, since it is smaller than the sum of its proper divisors (116678376).

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

49785624 is a wasteful number, since it uses less digits than its factorization.

49785624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1764 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 49785624 is about 7055.8928563294. The cubic root of 49785624 is about 367.8758836320.

The spelling of 49785624 in words is "forty-nine million, seven hundred eighty-five thousand, six hundred twenty-four".