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1339047649 = 232372432
BaseRepresentation
bin100111111010000…
…0011111011100001
310110022122200001101
41033310003323201
510220244011044
6340512234401
745116501002
oct11764037341
93408580041
101339047649
11627948355
1231453ba01
1318455a1b4
14c9ba71a9
157c854cd4
hex4fd03ee1

1339047649 has 27 divisors (see below), whose sum is σ = 1472888403. Its totient is φ = 1217229552.

The previous prime is 1339047623. The next prime is 1339047679. The reversal of 1339047649 is 9467409331.

The square root of 1339047649 is 36593.

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

It can be written as a sum of positive squares in only one way, i.e., 1198198225 + 140849424 = 34615^2 + 11868^2 .

It is not a de Polignac number, because 1339047649 - 25 = 1339047617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1339047599 and 1339047608.

It is not an unprimeable number, because it can be changed into a prime (1339047679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31140622 + ... + 31140664.

Almost surely, 21339047649 is an apocalyptic number.

1339047649 is the 36593-rd square number.

1339047649 is the 18297-th centered octagonal number.

It is an amenable number.

1339047649 is a deficient number, since it is larger than the sum of its proper divisors (133840754).

1339047649 is an frugal number, since it uses more digits than its factorization.

1339047649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The cubic root of 1339047649 is about 1102.2125299493.

The spelling of 1339047649 in words is "one billion, three hundred thirty-nine million, forty-seven thousand, six hundred forty-nine".

Divisors: 1 23 37 43 529 851 989 1369 1591 1849 19573 22747 31487 36593 42527 58867 68413 724201 841639 978121 1353941 1573499 2531281 31140643 36190477 58219463 1339047649