23242752 has 144 divisors (see below), whose sum is σ = 73038420. Its totient is φ = 7077888.

The previous prime is 23242741. The next prime is 23242759. The reversal of 23242752 is 25724232.

23242752 is a `hidden beast` number, since 232 + 427 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 1115136 = 4704^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (23242759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239568 + ... + 239664.

Almost surely, 2^23242752 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 23242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36519210).

23242752 is an abundant number, since it is smaller than the sum of its proper divisors (49795668).

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

23242752 is a wasteful number, since it uses less digits than its factorization.

23242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 23242752 is about 4821.0737393241. The cubic root of 23242752 is about 285.3837121476.

Adding to 23242752 its reverse (25724232), we get a palindrome (48966984).

The spelling of 23242752 in words is "twenty-three million, two hundred forty-two thousand, seven hundred fifty-two".