4950

4950 is a natural number that lies between 4949 and 4951. In decimal notation it is written as 4950 and factors into prime components as 2 × 3^2 × 5^2 × 11. It has 36 positive divisors and is divisible by 2, 3, 5, 9, and 11, among others.

The number is the 99th triangular number, since 4950 = 99 × 100 / 2, and it also equals the binomial coefficient C(100, 2), the number of ways to choose two elements from a 100-element set.

In terms of divisor sums, the sum of all divisors of 4950 is 14508, so the sum of its proper divisors is 14508 − 4950 = 9558. Because this exceeds 4950, the number is abundant, with an abundance of 4608.

Numerous properties connect 4950 to combinatorics: as C(100, 2) it counts unordered pairs from a 100-element set, and as the triangular number T_99 it represents the total of 1 through 99.