48185800 has 96 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 17337600.

The previous prime is 48185789. The next prime is 48185821. The reversal of 48185800 is 858184.

48185800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111585 + ... + 112015.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^48185800 is an apocalyptic number.

48185800 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 48185800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

48185800 is an abundant number, since it is smaller than the sum of its proper divisors (75556280).

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

48185800 is a wasteful number, since it uses less digits than its factorization.

48185800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 48185800 is about 6941.5992393684. The cubic root of 48185800 is about 363.8924328937.

The spelling of 48185800 in words is "forty-eight million, one hundred eighty-five thousand, eight hundred".