Search a number
-
+
3083247729 = 328322232
BaseRepresentation
bin1011011111000110…
…1010000001110001
321221212200012202100
42313301222001301
522303302411404
61225540411013
7136256113302
oct26761520161
97855605670
103083247729
11134245a721
127206a6a69
133a1a10c53
142136b67a9
15130a39d39
hexb7c6a071

3083247729 has 27 divisors (see below), whose sum is σ = 4528189497. Its totient is φ = 2021627016.

The previous prime is 3083247701. The next prime is 3083247731. The reversal of 3083247729 is 9277423803.

The square root of 3083247729 is 55527.

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

3083247729 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3083247729 - 217 = 3083116657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3083247749) 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, 13826112 + ... + 13826334.

Almost surely, 23083247729 is an apocalyptic number.

3083247729 is the 55527-th square number.

3083247729 is the 27764-th centered octagonal number.

It is an amenable number.

3083247729 is a deficient number, since it is larger than the sum of its proper divisors (1444941768).

3083247729 is an frugal number, since it uses more digits than its factorization.

3083247729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The cubic root of 3083247729 is about 1455.4684869675.

The spelling of 3083247729 in words is "three billion, eighty-three million, two hundred forty-seven thousand, seven hundred twenty-nine".

Divisors: 1 3 9 83 223 249 669 747 2007 6889 18509 20667 49729 55527 62001 149187 166581 447561 1536247 4127507 4608741 12382521 13826223 37147563 342583081 1027749243 3083247729