49945984 has 64 divisors (see below), whose sum is σ = 114321600. Its totient is φ = 21496320.

The previous prime is 49945969. The next prime is 49946009. The reversal of 49945984 is 48954994.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25819 + ... + 27685.

It is an arithmetic number, because the mean of its divisors is an integer number (1786275).

Almost surely, 2^49945984 is an apocalyptic number.

49945984 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 49945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57160800).

49945984 is an abundant number, since it is smaller than the sum of its proper divisors (64375616).

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

49945984 is a wasteful number, since it uses less digits than its factorization.

49945984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1899 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The square root of 49945984 is about 7067.2472717459. The cubic root of 49945984 is about 368.2704376317.

The spelling of 49945984 in words is "forty-nine million, nine hundred forty-five thousand, nine hundred eighty-four".