# Pandigital Integer Formed by Digits in Alphabetical Order

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## Theorem

The number $8 \, 549 \, 176 \, 320$ is the pandigital integer formed from the digits from $0$ to $9$ arranged in alphabetical order.

## Proof

\(\displaystyle \) | \(\) | \(\displaystyle 8\) | eight | ||||||||||

\(\displaystyle \) | \(\) | \(\displaystyle 5\) | five | ||||||||||

\(\displaystyle \) | \(\) | \(\displaystyle 4\) | four | ||||||||||

\(\displaystyle \) | \(\) | \(\displaystyle 9\) | nine | ||||||||||

\(\displaystyle \) | \(\) | \(\displaystyle 1\) | one | ||||||||||

\(\displaystyle \) | \(\) | \(\displaystyle 7\) | seven | ||||||||||

\(\displaystyle \) | \(\) | \(\displaystyle 6\) | six | ||||||||||

\(\displaystyle \) | \(\) | \(\displaystyle 3\) | three | ||||||||||

\(\displaystyle \) | \(\) | \(\displaystyle 2\) | two | ||||||||||

\(\displaystyle \) | \(\) | \(\displaystyle 0\) | zero |

$\blacksquare$

## Sources

- 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $8,549,176,320$