Search a number
-
+
82064269 = 728811901
BaseRepresentation
bin1001110010000…
…11001110001101
312201102022000101
410321003032031
5132002024034
612050531101
72014351300
oct471031615
9181368011
1082064269
1142361111
1223596a91
1314003b51
14ac82b37
157310514
hex4e4338d

82064269 has 12 divisors (see below), whose sum is σ = 95621148. Its totient is φ = 70224000.

The previous prime is 82064251. The next prime is 82064291. The reversal of 82064269 is 96246028.

It can be written as a sum of positive squares in 2 ways, for example, as 10323369 + 71740900 = 3213^2 + 8470^2 .

It is not a de Polignac number, because 82064269 - 25 = 82064237 is a prime.

It is a super-2 number, since 2×820642692 = 13469088493008722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82064239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42219 + ... + 44119.

It is an arithmetic number, because the mean of its divisors is an integer number (7968429).

Almost surely, 282064269 is an apocalyptic number.

It is an amenable number.

82064269 is a deficient number, since it is larger than the sum of its proper divisors (13556879).

82064269 is a wasteful number, since it uses less digits than its factorization.

82064269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 82064269 is about 9058.9331049523. The cubic root of 82064269 is about 434.5616211645.

The spelling of 82064269 in words is "eighty-two million, sixty-four thousand, two hundred sixty-nine".

Divisors: 1 7 49 881 1901 6167 13307 43169 93149 1674781 11723467 82064269