49971264 has 56 divisors (see below), whose sum is σ = 151107648. Its totient is φ = 14277120.

The previous prime is 49971253. The next prime is 49971269. The reversal of 49971264 is 46217994.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49971269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17247 + ... + 19934.

Almost surely, 2^49971264 is an apocalyptic number.

It is an amenable number.

49971264 is an abundant number, since it is smaller than the sum of its proper divisors (101136384).

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

49971264 is a wasteful number, since it uses less digits than its factorization.

49971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37203 (or 37193 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 49971264 is about 7069.0355777857. The cubic root of 49971264 is about 368.3325601198.

The spelling of 49971264 in words is "forty-nine million, nine hundred seventy-one thousand, two hundred sixty-four".