42582744 has 48 divisors (see below), whose sum is σ = 117514800. Its totient is φ = 13925184.

The previous prime is 42582733. The next prime is 42582763. The reversal of 42582744 is 44728524.

42582744 is a `hidden beast` number, since 4 + 2 + 582 + 74 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42582699 and 42582708.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1764 + ... + 9395.

It is an arithmetic number, because the mean of its divisors is an integer number (2448225).

Almost surely, 2^42582744 is an apocalyptic number.

It is an amenable number.

42582744 is an abundant number, since it is smaller than the sum of its proper divisors (74932056).

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

42582744 is a wasteful number, since it uses less digits than its factorization.

42582744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224 (or 11217 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42582744 is about 6525.5454944395. The cubic root of 42582744 is about 349.2029317625.

The spelling of 42582744 in words is "forty-two million, five hundred eighty-two thousand, seven hundred forty-four".