49905966 has 48 divisors (see below), whose sum is σ = 111866832. Its totient is φ = 14826240.

The previous prime is 49905941. The next prime is 49905967. The reversal of 49905966 is 66950994.

It is a happy number.

49905966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49905967) 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 23 ways as a sum of consecutive naturals, for example, 37830 + ... + 39126.

It is an arithmetic number, because the mean of its divisors is an integer number (2330559).

Almost surely, 2^49905966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49905966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55933416).

49905966 is an abundant number, since it is smaller than the sum of its proper divisors (61960866).

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

49905966 is a wasteful number, since it uses less digits than its factorization.

49905966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 49905966 is about 7064.4154747580. The cubic root of 49905966 is about 368.1720554533.

The spelling of 49905966 in words is "forty-nine million, nine hundred five thousand, nine hundred sixty-six".