42202368 has 108 divisors (see below), whose sum is σ = 131132820. Its totient is φ = 12976128.

The previous prime is 42202367. The next prime is 42202379. The reversal of 42202368 is 86320224.

42202368 is a `hidden beast` number, since 422 + 0 + 236 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 39538944 = 1632^2 + 6288^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29248 + ... + 30656.

Almost surely, 2^42202368 is an apocalyptic number.

42202368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65566410).

42202368 is an abundant number, since it is smaller than the sum of its proper divisors (88930452).

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

42202368 is a wasteful number, since it uses less digits than its factorization.

42202368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42202368 is about 6496.3349667332. The cubic root of 42202368 is about 348.1600532097.

The spelling of 42202368 in words is "forty-two million, two hundred two thousand, three hundred sixty-eight".