49938144 has 48 divisors (see below), whose sum is σ = 132079248. Its totient is φ = 16520192.

The previous prime is 49938143. The next prime is 49938169. The reversal of 49938144 is 44183994.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49938096 and 49938105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49938143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11254 + ... + 15050.

It is an arithmetic number, because the mean of its divisors is an integer number (2751651).

Almost surely, 2^49938144 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 49938144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66039624).

49938144 is an abundant number, since it is smaller than the sum of its proper divisors (82141104).

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

49938144 is a wasteful number, since it uses less digits than its factorization.

49938144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3939 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 49938144 is about 7066.6925785688. The cubic root of 49938144 is about 368.2511675384.

The spelling of 49938144 in words is "forty-nine million, nine hundred thirty-eight thousand, one hundred forty-four".