49805184 has 128 divisors (see below), whose sum is σ = 155594880. Its totient is φ = 13916160.

The previous prime is 49805179. The next prime is 49805191. The reversal of 49805184 is 48150894.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54459 + ... + 55365.

It is an arithmetic number, because the mean of its divisors is an integer number (1215585).

Almost surely, 2^49805184 is an apocalyptic number.

49805184 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 49805184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77797440).

49805184 is an abundant number, since it is smaller than the sum of its proper divisors (105789696).

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

49805184 is a wasteful number, since it uses less digits than its factorization.

49805184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 49805184 is about 7057.2787956832. The cubic root of 49805184 is about 367.9240549015.

The spelling of 49805184 in words is "forty-nine million, eight hundred five thousand, one hundred eighty-four".