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5802935329 = 17244812
BaseRepresentation
bin1010110011110000…
…11100010000100001
3112222102020122202201
411121320130100201
543341022412304
62355453013201
7263542064542
oct53170342041
915872218681
105802935329
112508673224
12115b484201
137162cb859
143d09924c9
1523e6ad3a4
hex159e1c421

5802935329 has 9 divisors (see below), whose sum is σ = 6165739801. Its totient is φ = 5460367360.

The previous prime is 5802935279. The next prime is 5802935339. The reversal of 5802935329 is 9235392085.

It is a happy number.

The square root of 5802935329 is 76177.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1839981025 + 3962954304 = 42895^2 + 62952^2 .

It is not a de Polignac number, because 5802935329 - 223 = 5794546721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5802935339) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1292769 + ... + 1297249.

Almost surely, 25802935329 is an apocalyptic number.

5802935329 is the 76177-th square number.

5802935329 is the 38089-th centered octagonal number.

It is an amenable number.

5802935329 is a deficient number, since it is larger than the sum of its proper divisors (362804472).

5802935329 is an frugal number, since it uses more digits than its factorization.

5802935329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8996 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The cubic root of 5802935329 is about 1797.0048263496.

The spelling of 5802935329 in words is "five billion, eight hundred two million, nine hundred thirty-five thousand, three hundred twenty-nine".

Divisors: 1 17 289 4481 76177 1295009 20079361 341349137 5802935329