42413688 has 48 divisors (see below), whose sum is σ = 115174800. Its totient is φ = 14100480.

The previous prime is 42413687. The next prime is 42413773. The reversal of 42413688 is 88631424.

42413688 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-2 number, since 2×42413688² = 3597841859522688, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413687) 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 11 ways as a sum of consecutive naturals, for example, 45693 + ... + 46611.

It is an arithmetic number, because the mean of its divisors is an integer number (2399475).

Almost surely, 2^42413688 is an apocalyptic number.

It is an amenable number.

42413688 is an abundant number, since it is smaller than the sum of its proper divisors (72761112).

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

42413688 is a wasteful number, since it uses less digits than its factorization.

42413688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1565 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 42413688 is about 6512.5792125701. The cubic root of 42413688 is about 348.7402001332.

The spelling of 42413688 in words is "forty-two million, four hundred thirteen thousand, six hundred eighty-eight".