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2385 = 32553
BaseRepresentation
bin100101010001
310021100
4211101
534020
615013
76645
oct4521
93240
102385
111879
121469
131116
14c25
15a90
hex951

2385 has 12 divisors (see below), whose sum is σ = 4212. Its totient is φ = 1248.

The previous prime is 2383. The next prime is 2389. The reversal of 2385 is 5832.

It can be written as a sum of positive squares in 2 ways, for example, as 1296 + 1089 = 36^2 + 33^2 .

It is not a de Polignac number, because 2385 - 21 = 2383 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 12 and base 13.

It is a nialpdrome in base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2381) by changing a digit.

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, 19 + ... + 71.

It is an arithmetic number, because the mean of its divisors is an integer number (351).

It is an amenable number.

2385 is a deficient number, since it is larger than the sum of its proper divisors (1827).

2385 is a wasteful number, since it uses less digits than its factorization.

2385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 61 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2385 is about 48.8364617883. The cubic root of 2385 is about 13.3607076489.

Subtracting from 2385 its product of digits (240), we obtain a triangular number (2145 = T65).

It can be divided in two parts, 238 and 5, that added together give a 5-th power (243 = 35).

The spelling of 2385 in words is "two thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385