49913640 has 192 divisors, whose sum is σ = 192067200. Its totient is φ = 10999296.

The previous prime is 49913623. The next prime is 49913641. The reversal of 49913640 is 4631994.

49913640 is a `hidden beast` number, since 4 + 9 + 9 + 1 + 3 + 640 = 666.

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 = 49913595 and 49913604.

It is not an unprimeable number, because it can be changed into a prime (49913641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72739 + ... + 73421.

It is an arithmetic number, because the mean of its divisors is an integer number (1000350).

Almost surely, 2^49913640 is an apocalyptic number.

49913640 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 49913640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033600).

49913640 is an abundant number, since it is smaller than the sum of its proper divisors (142153560).

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

49913640 is a wasteful number, since it uses less digits than its factorization.

49913640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 49913640 is about 7064.9585986048. The cubic root of 49913640 is about 368.1909256591.

The spelling of 49913640 in words is "forty-nine million, nine hundred thirteen thousand, six hundred forty".