52099200 has 288 divisors, whose sum is σ = 195664560. Its totient is φ = 13685760.

The previous prime is 52099199. The next prime is 52099213. The reversal of 52099200 is 299025.

52099200 = 40³ + 41³ + ... + 120³.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 777567 + ... + 777633.

Almost surely, 2^52099200 is an apocalyptic number.

52099200 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 52099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97832280).

52099200 is an abundant number, since it is smaller than the sum of its proper divisors (143565360).

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

52099200 is an equidigital number, since it uses as much as digits as its factorization.

52099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 52099200 is about 7217.9775560748. The cubic root of 52099200 is about 373.4883143390.

The spelling of 52099200 in words is "fifty-two million, ninety-nine thousand, two hundred".