49919520 has 192 divisors, whose sum is σ = 182891520. Its totient is φ = 11209728.

The previous prime is 49919503. The next prime is 49919557. The reversal of 49919520 is 2591994.

49919520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 278791 + ... + 278969.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^49919520 is an apocalyptic number.

49919520 is a gapful number since it is divisible by the number (40) 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 49919520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

49919520 is an abundant number, since it is smaller than the sum of its proper divisors (132972000).

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

49919520 is a wasteful number, since it uses less digits than its factorization.

49919520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 49919520 is about 7065.3747246696. The cubic root of 49919520 is about 368.2053831476.

The spelling of 49919520 in words is "forty-nine million, nine hundred nineteen thousand, five hundred twenty".