What is zidane number?

Zidane number is a term used in mathematics to describe a specific type of integer. A Zidane number is a positive integer that can be represented as the sum of its digits raised to the power of itself. For example, the number 3435 is a Zidane number because 3^3 + 4^4 + 3^3 + 5^5 = 3435.

Zidane numbers are named after the French football player Zinedine Zidane, who wore the number 5 on his jersey during his playing career. These numbers have been studied by mathematicians for their interesting properties and connections to other mathematical concepts.

Zidane numbers can be rare and finding them requires trial and error or specific algorithms. They are also known as narcissistic numbers or Armstrong numbers.