42529284 has 72 divisors (see below), whose sum is σ = 124645248. Its totient is φ = 11975040.

The previous prime is 42529247. The next prime is 42529307. The reversal of 42529284 is 48292524.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16704 + ... + 19080.

It is an arithmetic number, because the mean of its divisors is an integer number (1731184).

Almost surely, 2^42529284 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 42529284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62322624).

42529284 is an abundant number, since it is smaller than the sum of its proper divisors (82115964).

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

42529284 is a wasteful number, since it uses less digits than its factorization.

42529284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2460 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42529284 is about 6521.4479987193. The cubic root of 42529284 is about 349.0567363418.

The spelling of 42529284 in words is "forty-two million, five hundred twenty-nine thousand, two hundred eighty-four".