4950 has 36 divisors (see below), whose sum is σ = 14508. Its totient is φ = 1200.

The previous prime is 4943. The next prime is 4951. The reversal of 4950 is 594.

4950 = T_{4} + T_{5} + ... +
T_{30}.

4950 is a nontrivial binomial coefficient, being equal to C(100, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as **4**^{6} + **5**^{3} + **9**^{3} + **0** .

It is a Curzon number.

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4951) by changing a digit.

It is a Kaprekar number, because its square (24502500) can be partitioned into two parts whose sum is 4950.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 445 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (403).

4950 is the 99-th triangular number and also the 50-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254).

4950 is an abundant number, since it is smaller than the sum of its proper divisors (9558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4950 is a wasteful number, since it uses less digits than its factorization.

4950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4950 is about 70.3562363974. The cubic root of 4950 is about 17.0425692086.

Subtracting from 4950 its reverse (594), we obtain a square (4356 = 66^{2}).

It can be divided in two parts, 49 and 50, that added together give a palindrome (99).

The spelling of 4950 in words is "four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950

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