Problem Statement

A Munchausen number is a natural number n the sum of whose digits (in base 10), each raised to the power of itself, equals n. (Munchausen is also spelled: Münchhausen.) For instance:   3435 = 33 + 44 + 33 + 55

Find all Munchausen numbers between   1   and   5000.

Let's start with the solution:

(⊢(/⍨)⊢=+/∘(*⍨∘⍎¨⍕)¨)⍳ 5000