52197264 has 160 divisors (see below), whose sum is σ = 175822080. Its totient is φ = 14515200.

The previous prime is 52197253. The next prime is 52197311. The reversal of 52197264 is 46279125.

52197264 is a `hidden beast` number, since 521 + 9 + 72 + 64 = 666.

52197264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123774 + ... + 124194.

It is an arithmetic number, because the mean of its divisors is an integer number (1098888).

Almost surely, 2^52197264 is an apocalyptic number.

52197264 is a gapful number since it is divisible by the number (54) 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 52197264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87911040).

52197264 is an abundant number, since it is smaller than the sum of its proper divisors (123624816).

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

52197264 is a wasteful number, since it uses less digits than its factorization.

52197264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 52197264 is about 7224.7674011002. The cubic root of 52197264 is about 373.7225009316.

The spelling of 52197264 in words is "fifty-two million, one hundred ninety-seven thousand, two hundred sixty-four".