49991040 has 256 divisors, whose sum is σ = 193881600. Its totient is φ = 12072960.

The previous prime is 49991023. The next prime is 49991047. The reversal of 49991040 is 4019994.

49991040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49990986 and 49991004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49991047) 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 31 ways as a sum of consecutive naturals, for example, 189949 + ... + 190211.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 2^49991040 is an apocalyptic number.

49991040 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 49991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

49991040 is an abundant number, since it is smaller than the sum of its proper divisors (143890560).

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

49991040 is a wasteful number, since it uses less digits than its factorization.

49991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 49991040 is about 7070.4342158032. The cubic root of 49991040 is about 368.3811426013.

The spelling of 49991040 in words is "forty-nine million, nine hundred ninety-one thousand, forty".