52549632 has 72 divisors (see below), whose sum is σ = 151826220. Its totient is φ = 17510400.

The previous prime is 52549631. The next prime is 52549643. The reversal of 52549632 is 23694525.

52549632 is a `hidden beast` number, since 52 + 549 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×52549632² = 5522927646670848, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52549631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17007 + ... + 19857.

Almost surely, 2^52549632 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 52549632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75913110).

52549632 is an abundant number, since it is smaller than the sum of its proper divisors (99276588).

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

52549632 is a wasteful number, since it uses less digits than its factorization.

52549632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2856 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 52549632 is about 7249.1124974027. The cubic root of 52549632 is about 374.5615782968.

The spelling of 52549632 in words is "fifty-two million, five hundred forty-nine thousand, six hundred thirty-two".