54189200 has 120 divisors (see below), whose sum is σ = 148693608. Its totient is φ = 18800640.

The previous prime is 54189193. The next prime is 54189203. The reversal of 54189200 is 298145.

54189200 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 12 ways, for example, as 35664784 + 18524416 = 5972^2 + 4304^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54189203) 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 23 ways as a sum of consecutive naturals, for example, 88094 + ... + 88706.

Almost surely, 2^54189200 is an apocalyptic number.

54189200 is a gapful number since it is divisible by the number (50) 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 54189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74346804).

54189200 is an abundant number, since it is smaller than the sum of its proper divisors (94504408).

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

54189200 is a wasteful number, since it uses less digits than its factorization.

54189200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 54189200 is about 7361.3314013159. The cubic root of 54189200 is about 378.4172394174.

The spelling of 54189200 in words is "fifty-four million, one hundred eighty-nine thousand, two hundred".