Find the magical number!

Logic Level 2

\[ \large{\begin{array}{ccccccc} && & A & B& C & D&E\\ \times && & & & & &4\\ \hline & & & E & D& C & B&A\\ \hline \end{array}} \]

Solve the cryptogram above, where \(A,B,C,D\) and \(E\) are not necessarily distinct digits. Submit your answer as the 5-digit integer \(\overline{ABCDE} \).

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