52193952 has 72 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 17248896.

The previous prime is 52193951. The next prime is 52193963. The reversal of 52193952 is 25939125.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (52193951) 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 11 ways as a sum of consecutive naturals, for example, 35863 + ... + 37289.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 2^52193952 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 52193952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

52193952 is an abundant number, since it is smaller than the sum of its proper divisors (97506144).

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

52193952 is a wasteful number, since it uses less digits than its factorization.

52193952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1559 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 52193952 is about 7224.5381859327. The cubic root of 52193952 is about 373.7145963340.

The spelling of 52193952 in words is "fifty-two million, one hundred ninety-three thousand, nine hundred fifty-two".