49524288 has 112 divisors (see below), whose sum is σ = 144840960. Its totient is φ = 14809600.

The previous prime is 49524287. The next prime is 49524311. The reversal of 49524288 is 88242594.

49524288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49524287) 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 15 ways as a sum of consecutive naturals, for example, 276583 + ... + 276761.

Almost surely, 2^49524288 is an apocalyptic number.

49524288 is a gapful number since it is divisible by the number (48) 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 49524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72420480).

49524288 is an abundant number, since it is smaller than the sum of its proper divisors (95316672).

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

49524288 is a wasteful number, since it uses less digits than its factorization.

49524288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 49524288 is about 7037.3495010551. The cubic root of 49524288 is about 367.2310661439.

The spelling of 49524288 in words is "forty-nine million, five hundred twenty-four thousand, two hundred eighty-eight".