52268100 has 72 divisors (see below), whose sum is σ = 153844320. Its totient is φ = 13697280.

The previous prime is 52268023. The next prime is 52268101. The reversal of 52268100 is 186225.

It is a super-2 number, since 2×52268100² = 5463908555220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52268101) 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, 16224 + ... + 19176.

Almost surely, 2^52268100 is an apocalyptic number.

52268100 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 52268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76922160).

52268100 is an abundant number, since it is smaller than the sum of its proper divisors (101576220).

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

52268100 is a wasteful number, since it uses less digits than its factorization.

52268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 52268100 is about 7229.6680421718. The cubic root of 52268100 is about 373.8914819517.

The spelling of 52268100 in words is "fifty-two million, two hundred sixty-eight thousand, one hundred".