Search a number
-
+
2850 = 235219
BaseRepresentation
bin101100100010
310220120
4230202
542400
621110
711211
oct5442
93816
102850
112161
121796
1313b3
141078
15ca0
hexb22

2850 has 24 divisors (see below), whose sum is σ = 7440. Its totient is φ = 720.

The previous prime is 2843. The next prime is 2851. The reversal of 2850 is 582.

2850 is nontrivially palindromic in base 7.

2850 is a nontrivial binomial coefficient, being equal to C(76, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a nialpdrome in base 6, base 8, base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2851) by changing a digit.

2850 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (310).

2850 is the 75-th triangular number and also the 38-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720).

2850 is an abundant number, since it is smaller than the sum of its proper divisors (4590).

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

2850 is a wasteful number, since it uses less digits than its factorization.

2850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2850 is about 53.3853912602. The cubic root of 2850 is about 14.1779993902.

2850 divided by its sum of digits (15) gives a triangular number (190 = T19).

It can be divided in two parts, 28 and 50, that added together give a triangular number (78 = T12).

The spelling of 2850 in words is "two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2850