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8302307689 = 1324321632
BaseRepresentation
bin1111011101101101…
…10010100101101001
3210102121020221002101
413232312302211221
5114000342321224
63451455133401
7412511310454
oct75666624551
923377227071
108302307689
113580488715
121738514261
13a2406b400
1458a8bc49b
15338d13044
hex1eedb2969

8302307689 has 27 divisors (see below), whose sum is σ = 9260819127. Its totient is φ = 7439520816.

The previous prime is 8302307623. The next prime is 8302307719. The reversal of 8302307689 is 9867032038.

The square root of 8302307689 is 91117.

It is a perfect power (a square), and thus also a powerful number.

8302307689 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1228152025 + 7074155664 = 35045^2 + 84108^2 .

It is not a de Polignac number, because 8302307689 - 213 = 8302299497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8302307389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50934322 + ... + 50934484.

It is an arithmetic number, because the mean of its divisors is an integer number (342993301).

Almost surely, 28302307689 is an apocalyptic number.

8302307689 is the 91117-th square number.

8302307689 is the 45559-th centered octagonal number.

It is an amenable number.

8302307689 is a deficient number, since it is larger than the sum of its proper divisors (958511438).

8302307689 is an equidigital number, since it uses as much as digits as its factorization.

8302307689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The cubic root of 8302307689 is about 2024.8814797473.

The spelling of 8302307689 in words is "eight billion, three hundred two million, three hundred seven thousand, six hundred eighty-nine".

Divisors: 1 13 43 163 169 559 1849 2119 7009 7267 24037 26569 27547 91117 301387 312481 345397 1142467 1184521 3918031 4490161 14852071 49126081 50934403 193076923 638639053 8302307689