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Omni-MATH / What is the sum of the digits of S if S is the sum of all even Anderson numbers, where an Anderson number is a positive integer k less than 10000 with the property that k² ends wit…

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problem

What is the sum of the digits of SS if SS is the sum of all even Anderson numbers, where an Anderson number is a positive integer kk less than 10000 with the property that k2k^{2} ends with the digit or digits of kk?
Plain-text mathematical notation (without MathML)
What is the sum of the digits of S if S is the sum of all even Anderson numbers, where an Anderson number is a positive integer k less than 10000 with the property that k² ends with the digit or digits of k?
Original LaTeX notation
What is the sum of the digits of $S$ if $S$ is the sum of all even Anderson numbers, where an Anderson number is a positive integer $k$ less than 10000 with the property that $k^{2}$ ends with the digit or digits of $k$?

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