Track / Stage 4 / 51 of 340 #311 of 1964

Problem 311

AMC 12 late, AIME early

Number theory Difficulty 4.6 Find the answer

A four-digit number has all non-zero even digits, and its arithmetic square root is exactly a two-digit number, with both digits of this two-digit number also being non-zero even numbers. Then this four-digit number is $\qquad$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

$8.4624$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.