49853664 has 96 divisors (see below), whose sum is σ = 166199040. Its totient is φ = 14242176.

The previous prime is 49853659. The next prime is 49853677. The reversal of 49853664 is 46635894.

49853664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1927 + ... + 10169.

It is an arithmetic number, because the mean of its divisors is an integer number (1731240).

Almost surely, 2^49853664 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 49853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83099520).

49853664 is an abundant number, since it is smaller than the sum of its proper divisors (116345376).

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

49853664 is a wasteful number, since it uses less digits than its factorization.

49853664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269 (or 8255 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 49853664 is about 7060.7127119010. The cubic root of 49853664 is about 368.0433943787.

It can be divided in two parts, 4985 and 3664, that added together give a square (8649 = 93²).

The spelling of 49853664 in words is "forty-nine million, eight hundred fifty-three thousand, six hundred sixty-four".