52279200 has 216 divisors, whose sum is σ = 189198828. Its totient is φ = 13578240.

The previous prime is 52279189. The next prime is 52279211. The reversal of 52279200 is 297225.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52279189) and next prime (52279211).

It can be written as a sum of positive squares in 6 ways, for example, as 26998416 + 25280784 = 5196^2 + 5028^2 .

It is a super-2 number, since 2×52279200² = 5466229505280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381532 + ... + 381668.

Almost surely, 2^52279200 is an apocalyptic number.

52279200 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 52279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94599414).

52279200 is an abundant number, since it is smaller than the sum of its proper divisors (136919628).

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

52279200 is a wasteful number, since it uses less digits than its factorization.

52279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 52279200 is about 7230.4356715208. The cubic root of 52279200 is about 373.9179474357.

The spelling of 52279200 in words is "fifty-two million, two hundred seventy-nine thousand, two hundred".