49518144 has 168 divisors, whose sum is σ = 162260280. Its totient is φ = 14303232.

The previous prime is 49518137. The next prime is 49518181. The reversal of 49518144 is 44181594.

It can be written as a sum of positive squares in 4 ways, for example, as 2073600 + 47444544 = 1440^2 + 6888^2 .

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 = 49518099 and 49518108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127102 + ... + 127490.

It is an arithmetic number, because the mean of its divisors is an integer number (965835).

Almost surely, 2^49518144 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 49518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81130140).

49518144 is an abundant number, since it is smaller than the sum of its proper divisors (112742136).

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

49518144 is a wasteful number, since it uses less digits than its factorization.

49518144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 49518144 is about 7036.9129595299. The cubic root of 49518144 is about 367.2158792455.

The spelling of 49518144 in words is "forty-nine million, five hundred eighteen thousand, one hundred forty-four".