42202152 has 48 divisors (see below), whose sum is σ = 114927540. Its totient is φ = 13989888.

The previous prime is 42202123. The next prime is 42202157. The reversal of 42202152 is 25120224.

It can be written as a sum of positive squares in 2 ways, for example, as 42068196 + 133956 = 6486^2 + 366^2 .

It is a super-2 number, since 2×42202152² = 3562043266862208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42202157) 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, 12378 + ... + 15414.

Almost surely, 2^42202152 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 42202152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57463770).

42202152 is an abundant number, since it is smaller than the sum of its proper divisors (72725388).

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

42202152 is a wasteful number, since it uses less digits than its factorization.

42202152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42202152 is about 6496.3183419534. The cubic root of 42202152 is about 348.1594592249.

Adding to 42202152 its reverse (25120224), we get a palindrome (67322376).

The spelling of 42202152 in words is "forty-two million, two hundred two thousand, one hundred fifty-two".