48793600 has 72 divisors (see below), whose sum is σ = 121105530. Its totient is φ = 19496960.

The previous prime is 48793579. The next prime is 48793607. The reversal of 48793600 is 639784.

It can be written as a sum of positive squares in 3 ways, for example, as 34292736 + 14500864 = 5856^2 + 3808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48793600.

It is not an unprimeable number, because it can be changed into a prime (48793607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50724 + ... + 51676.

Almost surely, 2^48793600 is an apocalyptic number.

48793600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60552765).

48793600 is an abundant number, since it is smaller than the sum of its proper divisors (72311930).

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

48793600 is an equidigital number, since it uses as much as digits as its factorization.

48793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 48793600 is about 6985.2415849418. The cubic root of 48793600 is about 365.4160515037.

The spelling of 48793600 in words is "forty-eight million, seven hundred ninety-three thousand, six hundred".