42026112 has 72 divisors (see below), whose sum is σ = 121570995. Its totient is φ = 13935360.

The previous prime is 42026071. The next prime is 42026147. The reversal of 42026112 is 21162024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 21013056 + 21013056 = 4584^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4584.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 219937 + ... + 220127.

Almost surely, 2^42026112 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 42026112

42026112 is an abundant number, since it is smaller than the sum of its proper divisors (79544883).

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

42026112 is an equidigital number, since it uses as much as digits as its factorization.

42026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42026112 is about 6482.7549699183. The cubic root of 42026112 is about 347.6746860792.

Multiplying 42026112 by its sum of digits (18), we get a square (756470016 = 27504²).

42026112 divided by its sum of digits (18) gives a square (2334784 = 1528²).

Adding to 42026112 its reverse (21162024), we get a palindrome (63188136).

The spelling of 42026112 in words is "forty-two million, twenty-six thousand, one hundred twelve".