48633800 has 48 divisors (see below), whose sum is σ = 113655300. Its totient is φ = 19353600.

The previous prime is 48633797. The next prime is 48633829. The reversal of 48633800 is 833684.

48633800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19061956 + 29571844 = 4366^2 + 5438^2 .

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, 47696 + ... + 48704.

Almost surely, 2^48633800 is an apocalyptic number.

48633800 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 48633800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56827650).

48633800 is an abundant number, since it is smaller than the sum of its proper divisors (65021500).

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

48633800 is a wasteful number, since it uses less digits than its factorization.

48633800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 48633800 is about 6973.7938025152. The cubic root of 48633800 is about 365.0167003055.

The spelling of 48633800 in words is "forty-eight million, six hundred thirty-three thousand, eight hundred".