52423200 has 180 divisors, whose sum is σ = 191413530. Its totient is φ = 13962240.

The previous prime is 52423199. The next prime is 52423253. The reversal of 52423200 is 232425.

52423200 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 3 ways, for example, as 47279376 + 5143824 = 6876^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 64396 + ... + 65204.

Almost surely, 2^52423200 is an apocalyptic number.

52423200 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 52423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95706765).

52423200 is an abundant number, since it is smaller than the sum of its proper divisors (138990330).

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

52423200 is a wasteful number, since it uses less digits than its factorization.

52423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 52423200 is about 7240.3867300028. The cubic root of 52423200 is about 374.2609444151.

Adding to 52423200 its product of nonzero digits (480), we get a triangular number (52423680 = T₁₀₂₃₉).

Adding to 52423200 its reverse (232425), we get a palindrome (52655625).

The spelling of 52423200 in words is "fifty-two million, four hundred twenty-three thousand, two hundred".