49057164 has 120 divisors (see below), whose sum is σ = 145616240. Its totient is φ = 14276736.

The previous prime is 49057163. The next prime is 49057181. The reversal of 49057164 is 46175094.

49057164 is a `hidden beast` number, since 490 + 5 + 7 + 164 = 666.

49057164 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 not an unprimeable number, because it can be changed into a prime (49057163) 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 39 ways as a sum of consecutive naturals, for example, 79722 + ... + 80334.

Almost surely, 2^49057164 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 49057164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72808120).

49057164 is an abundant number, since it is smaller than the sum of its proper divisors (96559076).

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

49057164 is a wasteful number, since it uses less digits than its factorization.

49057164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 49057164 is about 7004.0819526902. The cubic root of 49057164 is about 366.0728153969.

The spelling of 49057164 in words is "forty-nine million, fifty-seven thousand, one hundred sixty-four".