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What is the largest three-digit number with the property that the number is equal to the sum of its hundreds digit, the square of its tens digit and the cube of its units digit?

  • Maths -

    my little BASIC program gave the following:
    Chipmunk BASIC v3.6.5(b3)

    4 possible cases:

    135
    175
    518
    598


    testing for 518

    518 ---> 5 + 1^2 + 8^3 = 5+1+512 = 518
    YUP!

    I ran the following little program

    Chipmunk BASIC v3.6.5(b3)
    >10 for a = 1 to 9
    >20 for b = 0 to 9
    >30 for c =0 to 9
    >40 if(100*a+10*b+c) = a+b*b+c*c*c then print a,b,c
    >50 next c
    >60 next b
    >70 next a
    >run
    1 3 5
    1 7 5
    5 1 8
    5 9 8
    >

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