52273300 has 72 divisors (see below), whose sum is σ = 121726584. Its totient is φ = 19415040.

The previous prime is 52273271. The next prime is 52273301. The reversal of 52273300 is 337225.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 20958084 + 31315216 = 4578^2 + 5596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52273301) by changing a digit.

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, 164742 + ... + 165058.

It is an arithmetic number, because the mean of its divisors is an integer number (1690647).

Almost surely, 2^52273300 is an apocalyptic number.

52273300 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 52273300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60863292).

52273300 is an abundant number, since it is smaller than the sum of its proper divisors (69453284).

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

52273300 is a wasteful number, since it uses less digits than its factorization.

52273300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 52273300 is about 7230.0276624644. The cubic root of 52273300 is about 373.9038806629.

The spelling of 52273300 in words is "fifty-two million, two hundred seventy-three thousand, three hundred".