42245252 has 48 divisors (see below), whose sum is σ = 88435200. Its totient is φ = 17640000.

The previous prime is 42245251. The next prime is 42245261. The reversal of 42245252 is 25254224.

It is a super-2 number, since 2×42245252² = 3569322633087008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42245251) 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, 55877 + ... + 56627.

It is an arithmetic number, because the mean of its divisors is an integer number (1842400).

Almost surely, 2^42245252 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 42245252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44217600).

42245252 is an abundant number, since it is smaller than the sum of its proper divisors (46189948).

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

42245252 is a wasteful number, since it uses less digits than its factorization.

42245252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 801 counting only the distinct ones).

The product of its digits is 6400, while the sum is 26.

The square root of 42245252 is about 6499.6347589692. The cubic root of 42245252 is about 348.2779410761.

Adding to 42245252 its reverse (25254224), we get a palindrome (67499476).

The spelling of 42245252 in words is "forty-two million, two hundred forty-five thousand, two hundred fifty-two".