Enigma 1476: Portuguese squares
4 December 2012
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From New Scientist #2638, 12th January 2008
Zero, um, nove and cem are the Portuguese for 0, 1, 9 and 100; so it is appropriate that I can make the following statement: ZERO, UM, NOVE and CEM are perfect squares.
In this statement digits have been consistently replaced by capital letters, different letters being used for different digits. No number starts with a zero.
Find the numerical value of the square root of (ZERO × UM × NOVE × CEM).