42713824 has 48 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 20062080.

The previous prime is 42713821. The next prime is 42713849. The reversal of 42713824 is 42831724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42713821) 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 7 ways as a sum of consecutive naturals, for example, 98889 + ... + 99319.

It is an arithmetic number, because the mean of its divisors is an integer number (1859760).

Almost surely, 2^42713824 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 42713824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

42713824 is an abundant number, since it is smaller than the sum of its proper divisors (46554656).

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

42713824 is a wasteful number, since it uses less digits than its factorization.

42713824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 42713824 is about 6535.5813819430. The cubic root of 42713824 is about 349.5608751360.

The spelling of 42713824 in words is "forty-two million, seven hundred thirteen thousand, eight hundred twenty-four".