42717888 has 112 divisors (see below), whose sum is σ = 128016000. Its totient is φ = 13964544.

The previous prime is 42717887. The next prime is 42717929. The reversal of 42717888 is 88871724.

It is not an unprimeable number, because it can be changed into a prime (42717887) 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 15 ways as a sum of consecutive naturals, for example, 101743 + ... + 102161.

It is an arithmetic number, because the mean of its divisors is an integer number (1143000).

Almost surely, 2^42717888 is an apocalyptic number.

42717888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42717888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008000).

42717888 is an abundant number, since it is smaller than the sum of its proper divisors (85298112).

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

42717888 is a wasteful number, since it uses less digits than its factorization.

42717888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 42717888 is about 6535.8922879742. The cubic root of 42717888 is about 349.5719610891.

The spelling of 42717888 in words is "forty-two million, seven hundred seventeen thousand, eight hundred eighty-eight".