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4293 = 3453
BaseRepresentation
bin1000011000101
312220000
41003011
5114133
631513
715342
oct10305
95800
104293
113253
122599
131c53
1417c9
151413
hex10c5

4293 has 10 divisors (see below), whose sum is σ = 6534. Its totient is φ = 2808.

The previous prime is 4289. The next prime is 4297. The reversal of 4293 is 3924.

4293 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (4289) and next prime (4297).

It can be written as a sum of positive squares in only one way, i.e., 3969 + 324 = 63^2 + 18^2 .

It is not a de Polignac number, because 4293 - 22 = 4289 is a prime.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4293.

It is not an unprimeable number, because it can be changed into a prime (4297) 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 9 ways as a sum of consecutive naturals, for example, 55 + ... + 107.

It is equal to the Eulerian number A(8, 2).

It is an amenable number.

4293 is a deficient number, since it is larger than the sum of its proper divisors (2241).

4293 is an equidigital number, since it uses as much as digits as its factorization.

4293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 56 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 4293 is about 65.5209890035. The cubic root of 4293 is about 16.2525045449.

The spelling of 4293 in words is "four thousand, two hundred ninety-three".

Divisors: 1 3 9 27 53 81 159 477 1431 4293