42624582 has 128 divisors (see below), whose sum is σ = 117669888. Its totient is φ = 9936000.

The previous prime is 42624563. The next prime is 42624587. The reversal of 42624582 is 28542624.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42624587) 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 63 ways as a sum of consecutive naturals, for example, 282207 + ... + 282357.

It is an arithmetic number, because the mean of its divisors is an integer number (919296).

Almost surely, 2^42624582 is an apocalyptic number.

42624582 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42624582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58834944).

42624582 is an abundant number, since it is smaller than the sum of its proper divisors (75045306).

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

42624582 is a wasteful number, since it uses less digits than its factorization.

42624582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its digits is 30720, while the sum is 33.

The square root of 42624582 is about 6528.7504164273. The cubic root of 42624582 is about 349.3172595292.

The spelling of 42624582 in words is "forty-two million, six hundred twenty-four thousand, five hundred eighty-two".