9-digit Number Puzzle - Solution

The Puzzle:

9-digit Number

What 9-digit number has the following features:

It has all 9 digits from 1 to 9

It can be exactly divided by 6 and 7

Each time it is rounded (starting with units, then tens, hundreds, etc) it rounds in an alternate pattern (up, down, up, ...), until after rounding 8 times the final number is 500000000

After rounding four times the sum of the digits is 24


Bonus: what is the solution if the rounding goes down, up, down, ...

Our Solution:

For rounding going up, down, up, ...

This solution is courtesy of Nasir Hassan:

536192748 (the solution)
536192750
536192700
536193000
536190000 (digits add to 24)
536200000
536000000
540000000
500000000 (final number)


And Ramon Fraterman found these solutions:

* 517294638
* 518372946
* 519273846
* 527194836



Bonus (rounding going down, up, down, ...) :

473816952 (the solution)
473816950
473817000
473817000
473820000 (digits add to 24)
473800000
474000000
470000000
500000000 (final number)
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