42638193 has 54 divisors (see below), whose sum is σ = 71574594. Its totient is φ = 24440832.

The previous prime is 42638191. The next prime is 42638203. The reversal of 42638193 is 39183624.

42638193 is a `hidden beast` number, since 4 + 2 + 638 + 19 + 3 = 666.

42638193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 10284849 + 32353344 = 3207^2 + 5688^2 .

It is not a de Polignac number, because 42638193 - 2¹ = 42638191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42638191) 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 53 ways as a sum of consecutive naturals, for example, 439521 + ... + 439617.

Almost surely, 2^42638193 is an apocalyptic number.

It is an amenable number.

42638193 is a deficient number, since it is larger than the sum of its proper divisors (28936401).

42638193 is a wasteful number, since it uses less digits than its factorization.

42638193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42638193 is about 6529.7927225908. The cubic root of 42638193 is about 349.3544372250.

The spelling of 42638193 in words is "forty-two million, six hundred thirty-eight thousand, one hundred ninety-three".