42759090 has 80 divisors (see below), whose sum is σ = 125452800. Its totient is φ = 10363680.

The previous prime is 42759089. The next prime is 42759091. The reversal of 42759090 is 9095724.

42759090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42759089) and next prime (42759091).

It is not an unprimeable number, because it can be changed into a prime (42759091) 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 39 ways as a sum of consecutive naturals, for example, 6511 + ... + 11309.

It is an arithmetic number, because the mean of its divisors is an integer number (1568160).

Almost surely, 2^42759090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42759090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62726400).

42759090 is an abundant number, since it is smaller than the sum of its proper divisors (82693710).

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

42759090 is a wasteful number, since it uses less digits than its factorization.

42759090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 42759090 is about 6539.0435080369. The cubic root of 42759090 is about 349.6843139889.

The spelling of 42759090 in words is "forty-two million, seven hundred fifty-nine thousand, ninety".