48182800 has 60 divisors (see below), whose sum is σ = 116626960. Its totient is φ = 19128960.

The previous prime is 48182791. The next prime is 48182819. The reversal of 48182800 is 828184.

48182800 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 11 ways as a sum of consecutive naturals, for example, 64831 + ... + 65569.

Almost surely, 2^48182800 is an apocalyptic number.

48182800 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 48182800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58313480).

48182800 is an abundant number, since it is smaller than the sum of its proper divisors (68444160).

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

48182800 is a wasteful number, since it uses less digits than its factorization.

48182800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 48182800 is about 6941.3831474714. The cubic root of 48182800 is about 363.8848808766.

The spelling of 48182800 in words is "forty-eight million, one hundred eighty-two thousand, eight hundred".