1458 (number)

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Template:Infobox number 1458 is the integer after 1457 and before 1459.

The maximum determinant of an 11 by 11 matrix of zeroes and ones is 1458.[1]

1458 is one of three numbers which, when its base 10 digits are added together, produces a sum which, when multiplied by its reversed self, yields the original number:

1 + 4 + 5 + 8 = 18
18 × 81 = 1458

The only other non-trivial numbers with this property are 81 and 1729, as well as the trivial solutions 1 and 0. It was proven by Masahiko Fujiwara. [2]

References

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