49752144 has 100 divisors (see below), whose sum is σ = 155126356. Its totient is φ = 15303168.

The previous prime is 49752137. The next prime is 49752169. The reversal of 49752144 is 44125794.

It is a happy number.

49752144 is a `hidden beast` number, since 4 + 97 + 521 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23619600 + 26132544 = 4860^2 + 5112^2 .

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 = 49752099 and 49752108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15372 + ... + 18324.

Almost surely, 2^49752144 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 49752144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77563178).

49752144 is an abundant number, since it is smaller than the sum of its proper divisors (105374212).

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

49752144 is a wasteful number, since it uses less digits than its factorization.

49752144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2971 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 49752144 is about 7053.5199723259. The cubic root of 49752144 is about 367.7934016790.

The spelling of 49752144 in words is "forty-nine million, seven hundred fifty-two thousand, one hundred forty-four".