49185792 has 110 divisors (see below), whose sum is σ = 147126078. Its totient is φ = 16367616.

The previous prime is 49185791. The next prime is 49185797. The reversal of 49185792 is 29758194.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 5308416 = 6624^2 + 2304^2 .

It is not an unprimeable number, because it can be changed into a prime (49185791) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82648 + ... + 83240.

Almost surely, 2^49185792 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 49185792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73563039).

49185792 is an abundant number, since it is smaller than the sum of its proper divisors (97940286).

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

49185792 is an equidigital number, since it uses as much as digits as its factorization.

49185792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 598 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 49185792 is about 7013.2583012463. The cubic root of 49185792 is about 366.3924840980.

The spelling of 49185792 in words is "forty-nine million, one hundred eighty-five thousand, seven hundred ninety-two".