42252304 has 40 divisors (see below), whose sum is σ = 86791320. Its totient is φ = 19891200.

The previous prime is 42252283. The next prime is 42252317. The reversal of 42252304 is 40325224.

It can be written as a sum of positive squares in 4 ways, for example, as 1904400 + 40347904 = 1380^2 + 6352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17914 + ... + 20134.

It is an arithmetic number, because the mean of its divisors is an integer number (2169783).

Almost surely, 2^42252304 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 42252304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43395660).

42252304 is an abundant number, since it is smaller than the sum of its proper divisors (44539016).

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

42252304 is a wasteful number, since it uses less digits than its factorization.

42252304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 42252304 is about 6500.1772283531. The cubic root of 42252304 is about 348.2973193436.

Adding to 42252304 its reverse (40325224), we get a palindrome (82577528).

It can be divided in two parts, 4225 and 2304, that multiplied together give a square (9734400 = 3120²).

The spelling of 42252304 in words is "forty-two million, two hundred fifty-two thousand, three hundred four".