Base | Representation |
---|---|
bin | 1010001101010… |
… | …1100001110101 |
3 | 2222120100210000 |
4 | 2203111201311 |
5 | 41430131103 |
6 | 4125421513 |
7 | 1026641544 |
oct | 243254165 |
9 | 88510700 |
10 | 42817653 |
11 | 2219559a |
12 | 1240a899 |
13 | 8b421b8 |
14 | 598815b |
15 | 3b5baa3 |
hex | 28d5875 |
42817653 has 20 divisors (see below), whose sum is σ = 65527308. Its totient is φ = 27846720.
The previous prime is 42817609. The next prime is 42817661. The reversal of 42817653 is 35671824.
42817653 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 2 ways, for example, as 11881809 + 30935844 = 3447^2 + 5562^2 .
It is not a de Polignac number, because 42817653 - 216 = 42752117 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42813653) 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 19 ways as a sum of consecutive naturals, for example, 3126 + ... + 9767.
Almost surely, 242817653 is an apocalyptic number.
It is an amenable number.
42817653 is a deficient number, since it is larger than the sum of its proper divisors (22709655).
42817653 is a wasteful number, since it uses less digits than its factorization.
42817653 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12946 (or 12937 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 42817653 is about 6543.5199243221. The cubic root of 42817653 is about 349.8438841171.
It can be divided in two parts, 428 and 17653, that added together give a palindrome (18081).
The spelling of 42817653 in words is "forty-two million, eight hundred seventeen thousand, six hundred fifty-three".
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