Search a number
-
+
42688809 = 334383443
BaseRepresentation
bin1010001011011…
…0000100101001
32222022211001000
42202312010221
541412020214
64122545213
71025564112
oct242660451
988284030
1042688809
1122107809
1212368209
138ac8667
145953209
153b33809
hex28b6129

42688809 has 32 divisors (see below), whose sum is σ = 65640960. Its totient is φ = 27400464.

The previous prime is 42688777. The next prime is 42688813. The reversal of 42688809 is 90888624.

It is a happy number.

It is not a de Polignac number, because 42688809 - 25 = 42688777 is a prime.

It is a super-3 number, since 3×426888093 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42688859) 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, 96142 + ... + 96584.

It is an arithmetic number, because the mean of its divisors is an integer number (2051280).

Almost surely, 242688809 is an apocalyptic number.

It is an amenable number.

42688809 is a deficient number, since it is larger than the sum of its proper divisors (22952151).

42688809 is a wasteful number, since it uses less digits than its factorization.

42688809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 42688809 is about 6533.6673469040. The cubic root of 42688809 is about 349.4926226592.

The spelling of 42688809 in words is "forty-two million, six hundred eighty-eight thousand, eight hundred nine".

Divisors: 1 3 9 27 43 83 129 249 387 443 747 1161 1329 2241 3569 3987 10707 11961 19049 32121 36769 57147 96363 110307 171441 330921 514323 992763 1581067 4743201 14229603 42688809