49941936 has 120 divisors (see below), whose sum is σ = 156396240. Its totient is φ = 14745600.

The previous prime is 49941917. The next prime is 49941943. The reversal of 49941936 is 63914994.

49941936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 49941891 and 49941900.

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 23 ways as a sum of consecutive naturals, for example, 64560 + ... + 65328.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 2^49941936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49941936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78198120).

49941936 is an abundant number, since it is smaller than the sum of its proper divisors (106454304).

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

49941936 is a wasteful number, since it uses less digits than its factorization.

49941936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 49941936 is about 7066.9608743787. The cubic root of 49941936 is about 368.2604882231.

The spelling of 49941936 in words is "forty-nine million, nine hundred forty-one thousand, nine hundred thirty-six".