49995264 has 120 divisors (see below), whose sum is σ = 146943720. Its totient is φ = 15093760.

The previous prime is 49995259. The next prime is 49995287. The reversal of 49995264 is 46259994.

49995264 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 (48).

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 11 ways as a sum of consecutive naturals, for example, 185722 + ... + 185990.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 2^49995264 is an apocalyptic number.

49995264 is a gapful number since it is divisible by the number (44) 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 49995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73471860).

49995264 is an abundant number, since it is smaller than the sum of its proper divisors (96948456).

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

49995264 is a wasteful number, since it uses less digits than its factorization.

49995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 285 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 49995264 is about 7070.7329181634. The cubic root of 49995264 is about 368.3915177813.

The spelling of 49995264 in words is "forty-nine million, nine hundred ninety-five thousand, two hundred sixty-four".