42788025 has 54 divisors (see below), whose sum is σ = 89173422. Its totient is φ = 19555200.

The previous prime is 42788003. The next prime is 42788033. The reversal of 42788025 is 52088724.

It is a happy number.

42788025 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 3 ways, for example, as 4149369 + 38638656 = 2037^2 + 6216^2 .

It is not a de Polignac number, because 42788025 - 2⁷ = 42787897 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 9085 + ... + 12965.

Almost surely, 2^42788025 is an apocalyptic number.

42788025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42788025 is an abundant number, since it is smaller than the sum of its proper divisors (46385397).

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

42788025 is a wasteful number, since it uses less digits than its factorization.

42788025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42788025 is about 6541.2556134125. The cubic root of 42788025 is about 349.7631731210.

The spelling of 42788025 in words is "forty-two million, seven hundred eighty-eight thousand, twenty-five".