42768312 has 32 divisors (see below), whose sum is σ = 107206800. Its totient is φ = 14217984.

The previous prime is 42768283. The next prime is 42768317. The reversal of 42768312 is 21386724.

42768312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×42768312⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42768317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7638 + ... + 11994.

Almost surely, 2^42768312 is an apocalyptic number.

It is an amenable number.

42768312 is an abundant number, since it is smaller than the sum of its proper divisors (64438488).

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

42768312 is a wasteful number, since it uses less digits than its factorization.

42768312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4771 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 42768312 is about 6539.7486190220. The cubic root of 42768312 is about 349.7094513880.

The spelling of 42768312 in words is "forty-two million, seven hundred sixty-eight thousand, three hundred twelve".