42682824 has 48 divisors (see below), whose sum is σ = 116035920. Its totient is φ = 14173920.

The previous prime is 42682823. The next prime is 42682847. The reversal of 42682824 is 42828624.

It is a happy number.

It is a super-2 number, since 2×42682824² = 3643646929229952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42682823) 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 11 ways as a sum of consecutive naturals, for example, 21139 + ... + 23069.

It is an arithmetic number, because the mean of its divisors is an integer number (2417415).

Almost surely, 2^42682824 is an apocalyptic number.

It is an amenable number.

42682824 is an abundant number, since it is smaller than the sum of its proper divisors (73353096).

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

42682824 is a wasteful number, since it uses less digits than its factorization.

42682824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2243 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42682824 is about 6533.2093185509. The cubic root of 42682824 is about 349.4762888615.

The spelling of 42682824 in words is "forty-two million, six hundred eighty-two thousand, eight hundred twenty-four".