Search a number
-
+
485381106 = 23371923557
BaseRepresentation
bin11100111011100…
…101001111110010
31020211022220201000
4130323211033302
51443224143411
6120055222430
715012446160
oct3473451762
91224286630
10485381106
11229a92011
12116677a16
1379737072
144866c230
152c92b956
hex1cee53f2

485381106 has 96 divisors (see below), whose sum is σ = 1301374080. Its totient is φ = 131344416.

The previous prime is 485381089. The next prime is 485381107. The reversal of 485381106 is 601183584.

485381106 is a `hidden beast` number, since 4 + 8 + 538 + 110 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (485381107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134680 + ... + 138236.

It is an arithmetic number, because the mean of its divisors is an integer number (13555980).

Almost surely, 2485381106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485381106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650687040).

485381106 is an abundant number, since it is smaller than the sum of its proper divisors (815992974).

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

485381106 is a wasteful number, since it uses less digits than its factorization.

485381106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 485381106 is about 22031.3664124584. The cubic root of 485381106 is about 785.8885396404. Note that the first 3 decimals are identical.

The spelling of 485381106 in words is "four hundred eighty-five million, three hundred eighty-one thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 361 378 399 513 722 798 1026 1083 1197 2166 2394 2527 3249 3557 3591 5054 6498 7114 7182 7581 9747 10671 15162 19494 21342 22743 24899 32013 45486 49798 64026 67583 68229 74697 96039 135166 136458 149394 192078 202749 224091 405498 448182 473081 608247 672273 946162 1216494 1284077 1344546 1419243 1824741 2568154 2838486 3649482 3852231 4257729 7704462 8515458 8988539 11556693 12773187 17977078 23113386 25546374 26965617 34670079 53931234 69340158 80896851 161793702 242690553 485381106