49131264 has 288 divisors, whose sum is σ = 173985280. Its totient is φ = 11943936.

The previous prime is 49131259. The next prime is 49131287. The reversal of 49131264 is 46213194.

49131264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49131264² = 4827762204475392, which contains 22 as substring.

Its product of digits (5184) is a multiple of the sum of its prime divisors (81).

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 31 ways as a sum of consecutive naturals, for example, 1327854 + ... + 1327890.

Almost surely, 2^49131264 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 49131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86992640).

49131264 is an abundant number, since it is smaller than the sum of its proper divisors (124854016).

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

49131264 is a wasteful number, since it uses less digits than its factorization.

49131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 49131264 is about 7009.3697291554. The cubic root of 49131264 is about 366.2570382306.

The spelling of 49131264 in words is "forty-nine million, one hundred thirty-one thousand, two hundred sixty-four".