49536256 has 108 divisors (see below), whose sum is σ = 125828640. Its totient is φ = 19246080.

The previous prime is 49536199. The next prime is 49536257. The reversal of 49536256 is 65263594.

49536256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (194400) is a multiple of the sum of its prime factors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49536257) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 137805 + ... + 138163.

It is an arithmetic number, because the mean of its divisors is an integer number (1165080).

Almost surely, 2^49536256 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 49536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62914320).

49536256 is an abundant number, since it is smaller than the sum of its proper divisors (76292384).

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

49536256 is a wasteful number, since it uses less digits than its factorization.

49536256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 379 counting only the distinct ones).

The product of its digits is 194400, while the sum is 40.

The square root of 49536256 is about 7038.1997698275. The cubic root of 49536256 is about 367.2606453503.

The spelling of 49536256 in words is "forty-nine million, five hundred thirty-six thousand, two hundred fifty-six".