49944864 has 48 divisors (see below), whose sum is σ = 131749632. Its totient is φ = 16566528.

The previous prime is 49944833. The next prime is 49944907. The reversal of 49944864 is 46844994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20242 + ... + 22574.

It is an arithmetic number, because the mean of its divisors is an integer number (2744784).

Almost surely, 2^49944864 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 49944864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65874816).

49944864 is an abundant number, since it is smaller than the sum of its proper divisors (81804768).

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

49944864 is a wasteful number, since it uses less digits than its factorization.

49944864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2561 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 49944864 is about 7067.1680325290. The cubic root of 49944864 is about 368.2676848847.

The spelling of 49944864 in words is "forty-nine million, nine hundred forty-four thousand, eight hundred sixty-four".