42263208 has 160 divisors (see below), whose sum is σ = 132640200. Its totient is φ = 12483072.

The previous prime is 42263189. The next prime is 42263209. The reversal of 42263208 is 80236224.

42263208 is a `hidden beast` number, since 4 + 22 + 632 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37675044 + 4588164 = 6138^2 + 2142^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42263209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244210 + ... + 244382.

Almost surely, 2^42263208 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 42263208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66320100).

42263208 is an abundant number, since it is smaller than the sum of its proper divisors (90376992).

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

42263208 is a wasteful number, since it uses less digits than its factorization.

42263208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

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

The square root of 42263208 is about 6501.0159206081. The cubic root of 42263208 is about 348.3272783199.

The spelling of 42263208 in words is "forty-two million, two hundred sixty-three thousand, two hundred eight".