49838112 has 96 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 16153344.

The previous prime is 49838071. The next prime is 49838137. The reversal of 49838112 is 21183894.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 31189 + ... + 32747.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^49838112 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 49838112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

49838112 is an abundant number, since it is smaller than the sum of its proper divisors (99547488).

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

49838112 is a wasteful number, since it uses less digits than its factorization.

49838112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1601 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 49838112 is about 7059.6113207456. The cubic root of 49838112 is about 368.0051196515.

The spelling of 49838112 in words is "forty-nine million, eight hundred thirty-eight thousand, one hundred twelve".