42688296 has 96 divisors (see below), whose sum is σ = 137067840. Its totient is φ = 12192768.

The previous prime is 42688279. The next prime is 42688297. The reversal of 42688296 is 69288624.

42688296 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-3 number, since 3×42688296³ (a number of 24 digits) contains 333 as substring.

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 (42688297) 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 23 ways as a sum of consecutive naturals, for example, 12040 + ... + 15176.

It is an arithmetic number, because the mean of its divisors is an integer number (1427790).

Almost surely, 2^42688296 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 42688296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68533920).

42688296 is an abundant number, since it is smaller than the sum of its proper divisors (94379544).

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

42688296 is a wasteful number, since it uses less digits than its factorization.

42688296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3149 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 42688296 is about 6533.6280885891. The cubic root of 42688296 is about 349.4912226792.

The spelling of 42688296 in words is "forty-two million, six hundred eighty-eight thousand, two hundred ninety-six".