49835120 has 40 divisors (see below), whose sum is σ = 116738064. Its totient is φ = 19784192.

The previous prime is 49835111. The next prime is 49835141. The reversal of 49835120 is 2153894.

49835120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8687 + ... + 13233.

Almost surely, 2^49835120 is an apocalyptic number.

49835120 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 49835120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58369032).

49835120 is an abundant number, since it is smaller than the sum of its proper divisors (66902944).

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

49835120 is a wasteful number, since it uses less digits than its factorization.

49835120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 49835120 is about 7059.3994078817. The cubic root of 49835120 is about 367.9977551848.

The spelling of 49835120 in words is "forty-nine million, eight hundred thirty-five thousand, one hundred twenty".