48889800 has 144 divisors (see below), whose sum is σ = 166189140. Its totient is φ = 12879360.

The previous prime is 48889783. The next prime is 48889801. The reversal of 48889800 is 898884.

It can be written as a sum of positive squares in 6 ways, for example, as 24029604 + 24860196 = 4902^2 + 4986^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48889801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282514 + ... + 282686.

Almost surely, 2^48889800 is an apocalyptic number.

48889800 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 48889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83094570).

48889800 is an abundant number, since it is smaller than the sum of its proper divisors (117299340).

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

48889800 is a wasteful number, since it uses less digits than its factorization.

48889800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 48889800 is about 6992.1241407744. The cubic root of 48889800 is about 365.6560416336.

The spelling of 48889800 in words is "forty-eight million, eight hundred eighty-nine thousand, eight hundred".