Search a number
-
+
165820482 = 232174113217
BaseRepresentation
bin10011110001000…
…11100001000010
3102120000112221100
421320203201002
5314422223412
624242035230
74052310432
oct1170434102
9376015840
10165820482
1185668423
1247648b16
132847ab39
14180462c2
15e856edc
hex9e23842

165820482 has 48 divisors (see below), whose sum is σ = 389719512. Its totient is φ = 50749440.

The previous prime is 165820451. The next prime is 165820483. The reversal of 165820482 is 284028561.

It can be written as a sum of positive squares in 4 ways, for example, as 116834481 + 48986001 = 10809^2 + 6999^2 .

It is not an unprimeable number, because it can be changed into a prime (165820483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5938 + ... + 19154.

Almost surely, 2165820482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165820482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194859756).

165820482 is an abundant number, since it is smaller than the sum of its proper divisors (223899030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165820482 is a wasteful number, since it uses less digits than its factorization.

165820482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13283 (or 13280 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 165820482 is about 12877.1301927099. The cubic root of 165820482 is about 549.3882807694.

The spelling of 165820482 in words is "one hundred sixty-five million, eight hundred twenty thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 697 738 1394 2091 4182 6273 12546 13217 26434 39651 79302 118953 224689 237906 449378 541897 674067 1083794 1348134 1625691 2022201 3251382 4044402 4877073 9212249 9754146 18424498 27636747 55273494 82910241 165820482