Search a number
-
+
82304465 = 523229237
BaseRepresentation
bin1001110011111…
…01110111010001
312201212111111112
410321331313101
5132032220330
612100023105
72016401465
oct471756721
9181774445
1082304465
1142505621
1223691a95
1314089289
14ad064a5
15735b795
hex4e7ddd1

82304465 has 36 divisors (see below), whose sum is σ = 109819164. Its totient is φ = 59165568.

The previous prime is 82304449. The next prime is 82304477. The reversal of 82304465 is 56440328.

It can be written as a sum of positive squares in 6 ways, for example, as 2666689 + 79637776 = 1633^2 + 8924^2 .

It is not a de Polignac number, because 82304465 - 24 = 82304449 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2224427 + ... + 2224463.

Almost surely, 282304465 is an apocalyptic number.

It is an amenable number.

82304465 is a deficient number, since it is larger than the sum of its proper divisors (27514699).

82304465 is a wasteful number, since it uses less digits than its factorization.

82304465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 82304465 is about 9072.1808293265. The cubic root of 82304465 is about 434.9851846806.

The spelling of 82304465 in words is "eighty-two million, three hundred four thousand, four hundred sixty-five".

Divisors: 1 5 23 29 37 115 145 185 529 667 841 851 1073 2645 3335 4205 4255 5365 15341 19343 19573 24679 31117 76705 96715 97865 123395 155585 444889 567617 715691 2224445 2838085 3578455 16460893 82304465