42584010 has 64 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 9675072.

The previous prime is 42583991. The next prime is 42584057. The reversal of 42584010 is 1048524.

42584010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 41281 + ... + 42299.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^42584010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42584010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

42584010 is an abundant number, since it is smaller than the sum of its proper divisors (74919990).

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

42584010 is a wasteful number, since it uses less digits than its factorization.

42584010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42584010 is about 6525.6424971033. The cubic root of 42584010 is about 349.2063923703.

The spelling of 42584010 in words is "forty-two million, five hundred eighty-four thousand, ten".