42288345 has 32 divisors (see below), whose sum is σ = 82016640. Its totient is φ = 20502720.

The previous prime is 42288331. The next prime is 42288349. The reversal of 42288345 is 54388224.

It is not a de Polignac number, because 42288345 - 2⁵ = 42288313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42288349) 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 31 ways as a sum of consecutive naturals, for example, 12754 + ... + 15723.

It is an arithmetic number, because the mean of its divisors is an integer number (2563020).

Almost surely, 2^42288345 is an apocalyptic number.

42288345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42288345 is a deficient number, since it is larger than the sum of its proper divisors (39728295).

42288345 is a wasteful number, since it uses less digits than its factorization.

42288345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28502 (or 28496 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 42288345 is about 6502.9489464396. The cubic root of 42288345 is about 348.3963231452.

The spelling of 42288345 in words is "forty-two million, two hundred eighty-eight thousand, three hundred forty-five".