42362856 has 96 divisors (see below), whose sum is σ = 122148000. Its totient is φ = 13226112.

The previous prime is 42362851. The next prime is 42362857. The reversal of 42362856 is 65826324.

42362856 is a `hidden beast` number, since 4 + 23 + 628 + 5 + 6 = 666.

42362856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42362856² = 3589223136953472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42362856.

It is not an unprimeable number, because it can be changed into a prime (42362851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236575 + ... + 236753.

It is an arithmetic number, because the mean of its divisors is an integer number (1272375).

Almost surely, 2^42362856 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 42362856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61074000).

42362856 is an abundant number, since it is smaller than the sum of its proper divisors (79785144).

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

42362856 is a wasteful number, since it uses less digits than its factorization.

42362856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42362856 is about 6508.6754412860. The cubic root of 42362856 is about 348.6008249354.

The spelling of 42362856 in words is "forty-two million, three hundred sixty-two thousand, eight hundred fifty-six".