42890112 has 96 divisors (see below), whose sum is σ = 127508160. Its totient is φ = 13824000.

The previous prime is 42890093. The next prime is 42890119. The reversal of 42890112 is 21109824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42890119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35112 + ... + 36312.

It is an arithmetic number, because the mean of its divisors is an integer number (1328210).

Almost surely, 2^42890112 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 42890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63754080).

42890112 is an abundant number, since it is smaller than the sum of its proper divisors (84618048).

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

42890112 is a wasteful number, since it uses less digits than its factorization.

42890112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 42890112 is about 6549.0542828717. The cubic root of 42890112 is about 350.0411162581.

Adding to 42890112 its reverse (21109824), we get a palindrome (63999936).

The spelling of 42890112 in words is "forty-two million, eight hundred ninety thousand, one hundred twelve".