42262506 has 96 divisors (see below), whose sum is σ = 111205440. Its totient is φ = 11793600.

The previous prime is 42262501. The next prime is 42262531. The reversal of 42262506 is 60526224.

It is a super-2 number, since 2×42262506² = 3572238826800072, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42262506.

It is not an unprimeable number, because it can be changed into a prime (42262501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100176 + ... + 100596.

It is an arithmetic number, because the mean of its divisors is an integer number (1158390).

Almost surely, 2^42262506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42262506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55602720).

42262506 is an abundant number, since it is smaller than the sum of its proper divisors (68942934).

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

42262506 is a wasteful number, since it uses less digits than its factorization.

42262506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42262506 is about 6500.9619288225. The cubic root of 42262506 is about 348.3253497149.

The spelling of 42262506 in words is "forty-two million, two hundred sixty-two thousand, five hundred six".