Search a number
-
+
5312313 = 321734721
BaseRepresentation
bin10100010000111100111001
3100222220010100
4110100330321
52324443223
6305510013
763103536
oct24207471
910886110
105312313
112aa9246
121942309
13113cca6
149c3d8d
156ee043
hex510f39

5312313 has 12 divisors (see below), whose sum is σ = 8124948. Its totient is φ = 3333120.

The previous prime is 5312309. The next prime is 5312317. The reversal of 5312313 is 3132135.

It is an interprime number because it is at equal distance from previous prime (5312309) and next prime (5312317).

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 1671849 = 1908^2 + 1293^2 .

It is not a de Polignac number, because 5312313 - 22 = 5312309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5312317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17208 + ... + 17513.

It is an arithmetic number, because the mean of its divisors is an integer number (677079).

Almost surely, 25312313 is an apocalyptic number.

It is an amenable number.

5312313 is a deficient number, since it is larger than the sum of its proper divisors (2812635).

5312313 is a wasteful number, since it uses less digits than its factorization.

5312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34744 (or 34741 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 5312313 is about 2304.8455479706. The cubic root of 5312313 is about 174.4862538193.

Adding to 5312313 its reverse (3132135), we get a palindrome (8444448).

It can be divided in two parts, 5312 and 313, that added together give a square (5625 = 752).

The spelling of 5312313 in words is "five million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 153 34721 104163 312489 590257 1770771 5312313