42584652 has 72 divisors (see below), whose sum is σ = 119705040. Its totient is φ = 12654720.

The previous prime is 42584651. The next prime is 42584657. The reversal of 42584652 is 25648524.

It is a happy number.

It is a super-2 number, since 2×42584652² = 3626905171922208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42584651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19974 + ... + 22002.

It is an arithmetic number, because the mean of its divisors is an integer number (1662570).

Almost surely, 2^42584652 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 42584652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59852520).

42584652 is an abundant number, since it is smaller than the sum of its proper divisors (77120388).

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

42584652 is a wasteful number, since it uses less digits than its factorization.

42584652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2098 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 42584652 is about 6525.6916874765. The cubic root of 42584652 is about 349.2081472495.

The spelling of 42584652 in words is "forty-two million, five hundred eighty-four thousand, six hundred fifty-two".