Entering the numbers 1-7 inclusive in a particular order in this equation: , where || is concatenation, you get an 8 digit number with no repeating digits that uses all the numerals from 1-9 inclusive, except for one. What is the missing digit? If you think there are multiple digits available, please submit your answer as the largest possible missing digit cubed.
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This is one of two answers. Obviously just plugging in 1234567 into the equation gives 47589132 with 6 missing, however, if the "particular order" is 3, 2, 4, 1, 5, 6, 7 this will give you 32 + 41 * 5 * 6^7 = 57386912 which meets the question details and is missing the digit 4!