50 (fifty) is the natural number following 49 and preceding 51.
Fifty is the smallest number that is the sum of two non-zero square numbers in two distinct ways: 50 = 12 + 72 = 52 + 52 (see image).[1] It is also the sum of three squares, 50 = 32 + 42 + 52, and the sum of four squares, 50 = 62 + 32 + 22 + 12. It is a Harshad number.[2]
50 is a Stirling number of the first kind: [ 5 2 ] = 50 {\displaystyle \left[{5 \atop 2}\right]=50} and also a Narayana number: N --> ( 6 , 3 ) = N --> ( 6 , 4 ) = 50 {\displaystyle \operatorname {N} (6,3)=\operatorname {N} (6,4)=50}
There is no solution to the equation φ(x) = 50, making 50 a nontotient.[3] Nor is there a solution to the equation x − φ(x) = 50, making 50 a noncototient.[4]
Fifty is the sum of the number of faces that make up the Platonic solids (4 + 6 + 8 + 12 + 20 = 50).
Fifty is:
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