Fifty (50)
1. It is the smallest number that can be expressed as the sum of two squares in 2 different ways.
50 = 1^2 + 7^2 = 5^2 + 5^2
2. It is equal to the sum of squares of 3 consecutive numbers.
50 = 3^2 + 4^2 + 5^2
3. It can be written as the sum of consecutive prime numbers in two different ways.
50 = 3 + 11 + 13 + 23
= 2 + 5 + 7 + 17 + 19
4. It can be written as the product of complex number and its conjugate.
50 = (7+ i) x ( 7 – i)
5. The atomic number of Tin is 50.
6. It can be written as the sum of digits involving 0 to 9.
50 = 19 + 43/ 2 + 76/5
= 28 + 36/4 + 91/7
= 39 + 21/7 + 64/8
7. It is the sum of squares of first Pythagorean triplet 3 – 4 – 5
50 = 3^2 + 4^2 + 5^2
8. It is a hexagonal pyramid number. It is a pyramidal number formed by adding the first few hexagonal numbers. The first few numbers are – 1, 7, 22, 50..
Dr Rajesh Kumar Thakur
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