54003200 has 60 divisors (see below), whose sum is σ = 133828860. Its totient is φ = 21596160.

The previous prime is 54003199. The next prime is 54003211. The reversal of 54003200 is 230045.

It is a super-2 number, since 2×54003200² = 5832691220480000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10691 + ... + 14909.

It is an arithmetic number, because the mean of its divisors is an integer number (2230481).

Almost surely, 2^54003200 is an apocalyptic number.

54003200 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 54003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66914430).

54003200 is an abundant number, since it is smaller than the sum of its proper divisors (79825660).

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

54003200 is an equidigital number, since it uses as much as digits as its factorization.

54003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 54003200 is about 7348.6869575455. The cubic root of 54003200 is about 377.9837810198.

Adding to 54003200 its reverse (230045), we get a palindrome (54233245).

The spelling of 54003200 in words is "fifty-four million, three thousand, two hundred".