42582000 has 160 divisors (see below), whose sum is σ = 141133824. Its totient is φ = 11040000.

The previous prime is 42581999. The next prime is 42582013. The reversal of 42582000 is 28524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281925 + ... + 282075.

Almost surely, 2^42582000 is an apocalyptic number.

42582000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42582000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70566912).

42582000 is an abundant number, since it is smaller than the sum of its proper divisors (98551824).

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

42582000 is a wasteful number, since it uses less digits than its factorization.

42582000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 42582000 is about 6525.4884874621. The cubic root of 42582000 is about 349.2008980084.

The spelling of 42582000 in words is "forty-two million, five hundred eighty-two thousand".