52923200 has 168 divisors, whose sum is σ = 148157184. Its totient is φ = 18432000.

The previous prime is 52923197. The next prime is 52923217. The reversal of 52923200 is 232925.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545552 + ... + 545648.

It is an arithmetic number, because the mean of its divisors is an integer number (881888).

Almost surely, 2^52923200 is an apocalyptic number.

52923200 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 52923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74078592).

52923200 is an abundant number, since it is smaller than the sum of its proper divisors (95233984).

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

52923200 is a wasteful number, since it uses less digits than its factorization.

52923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 52923200 is about 7274.8333314242. The cubic root of 52923200 is about 375.4470520254.

The spelling of 52923200 in words is "fifty-two million, nine hundred twenty-three thousand, two hundred".