49734144 has 120 divisors (see below), whose sum is σ = 147459312. Its totient is φ = 16128000.

The previous prime is 49734133. The next prime is 49734161. The reversal of 49734144 is 44143794.

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

It is a junction number, because it is equal to n+sod(n) for n = 49734099 and 49734108.

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 11 ways as a sum of consecutive naturals, for example, 198019 + ... + 198269.

Almost surely, 2^49734144 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 49734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73729656).

49734144 is an abundant number, since it is smaller than the sum of its proper divisors (97725168).

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

49734144 is a wasteful number, since it uses less digits than its factorization.

49734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 49734144 is about 7052.2438982213. The cubic root of 49734144 is about 367.7490412471.

The spelling of 49734144 in words is "forty-nine million, seven hundred thirty-four thousand, one hundred forty-four".