42952590 has 48 divisors (see below), whose sum is σ = 113583600. Its totient is φ = 11258496.

The previous prime is 42952519. The next prime is 42952603. The reversal of 42952590 is 9525924.

It is a happy number.

42952590 is a `hidden beast` number, since 42 + 9 + 525 + 90 = 666.

It is a super-3 number, since 3×42952590³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1266 + ... + 9354.

It is an arithmetic number, because the mean of its divisors is an integer number (2366325).

Almost surely, 2^42952590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42952590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56791800).

42952590 is an abundant number, since it is smaller than the sum of its proper divisors (70631010).

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

42952590 is a wasteful number, since it uses less digits than its factorization.

42952590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8161 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 42952590 is about 6553.8225487116. The cubic root of 42952590 is about 350.2110020208.

The spelling of 42952590 in words is "forty-two million, nine hundred fifty-two thousand, five hundred ninety".