52057200 has 240 divisors, whose sum is σ = 185988096. Its totient is φ = 12364800.

The previous prime is 52057199. The next prime is 52057231. The reversal of 52057200 is 275025.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 733165 + ... + 733235.

Almost surely, 2^52057200 is an apocalyptic number.

52057200 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 52057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994048).

52057200 is an abundant number, since it is smaller than the sum of its proper divisors (133930896).

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

52057200 is a wasteful number, since it uses less digits than its factorization.

52057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 52057200 is about 7215.0675672512. The cubic root of 52057200 is about 373.3879242732.

The spelling of 52057200 in words is "fifty-two million, fifty-seven thousand, two hundred".