The above number is known to many mathematicians and appeared as a solution to a flooble puzzle called “digits 1-9” thus implying that the number is a zeroless pandigital.
The solution showed another feature - this number is also poly-divisible, I.e. as a nine digit number it is divisible by nine, erase the last digit It becomes divisible by 8,…and so on.
There many features connected with our number, but the most important , which I ask you to

PROVE: 381654729 is a Friedman number

Definition and examples @ OEIS A036057
REM: proving does not mean to find somewhere the answer, but to solve it.

(In reply to re(2): Hint? @ Charlie by Ady TZIDON)

You can click on your problems on the home page. On the line identified by the name of this problem click on the link to problem, then delete and rewrite in the editing space.

Posted by Charlie on 2022-07-30 15:10:33