42890900 has 36 divisors (see below), whose sum is σ = 100235772. Its totient is φ = 15836160.

The previous prime is 42890891. The next prime is 42890927. The reversal of 42890900 is 909824.

42890900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14032516 + 28858384 = 3746^2 + 5372^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15197 + ... + 17796.

It is an arithmetic number, because the mean of its divisors is an integer number (2784327).

Almost surely, 2^42890900 is an apocalyptic number.

It is an amenable number.

42890900 is an abundant number, since it is smaller than the sum of its proper divisors (57344872).

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

42890900 is a wasteful number, since it uses less digits than its factorization.

42890900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33020 (or 33013 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 42890900 is about 6549.1144439535. The cubic root of 42890900 is about 350.0432599590.

The spelling of 42890900 in words is "forty-two million, eight hundred ninety thousand, nine hundred".