52023200 has 36 divisors (see below), whose sum is σ = 127003590. Its totient is φ = 20808960.

The previous prime is 52023199. The next prime is 52023203. The reversal of 52023200 is 232025.

52023200 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 50865424 + 1157776 = 7132^2 + 1076^2 .

It is not an unprimeable number, because it can be changed into a prime (52023203) 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 5 ways as a sum of consecutive naturals, for example, 31715 + ... + 33314.

Almost surely, 2^52023200 is an apocalyptic number.

52023200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52023200 is an abundant number, since it is smaller than the sum of its proper divisors (74980390).

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

52023200 is a wasteful number, since it uses less digits than its factorization.

52023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65049 (or 65036 counting only the distinct ones).

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

The square root of 52023200 is about 7212.7110021129. The cubic root of 52023200 is about 373.3066165688.

Adding to 52023200 its reverse (232025), we get a palindrome (52255225).

It can be divided in two parts, 5202 and 3200, that multiplied together give a square (16646400 = 4080²).

The spelling of 52023200 in words is "fifty-two million, twenty-three thousand, two hundred".