48932200 has 48 divisors (see below), whose sum is σ = 115087500. Its totient is φ = 19345920.

The previous prime is 48932183. The next prime is 48932207. The reversal of 48932200 is 223984.

48932200 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 3261636 + 45670564 = 1806^2 + 6758^2 .

It is not an unprimeable number, because it can be changed into a prime (48932207) by changing a digit.

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, 16426 + ... + 19174.

Almost surely, 2^48932200 is an apocalyptic number.

48932200 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 48932200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57543750).

48932200 is an abundant number, since it is smaller than the sum of its proper divisors (66155300).

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

48932200 is a wasteful number, since it uses less digits than its factorization.

48932200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 48932200 is about 6995.1554664639. The cubic root of 48932200 is about 365.7617169578.

The spelling of 48932200 in words is "forty-eight million, nine hundred thirty-two thousand, two hundred".