52164432 has 80 divisors (see below), whose sum is σ = 158561280. Its totient is φ = 16363008.

The previous prime is 52164403. The next prime is 52164439. The reversal of 52164432 is 23446125.

52164432 is a `hidden beast` number, since 5 + 216 + 443 + 2 = 666.

It is a super-2 number, since 2×52164432² = 5442255931765248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 52164396 and 52164405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52164439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3793 + ... + 10895.

It is an arithmetic number, because the mean of its divisors is an integer number (1982016).

Almost surely, 2^52164432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52164432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79280640).

52164432 is an abundant number, since it is smaller than the sum of its proper divisors (106396848).

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

52164432 is a wasteful number, since it uses less digits than its factorization.

52164432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137 (or 7125 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 52164432 is about 7222.4948598113. The cubic root of 52164432 is about 373.6441275347.

The spelling of 52164432 in words is "fifty-two million, one hundred sixty-four thousand, four hundred thirty-two".