Search a number
-
+
485071146 = 233761109193
BaseRepresentation
bin11100111010011…
…001100100101010
31020210202011112000
4130322121210222
51443134234041
6120044431430
715010015410
oct3472314452
91223664460
10485071146
112298a014a
12116548576
1379658c61
14485cb2b0
152c8b9bb6
hex1ce9992a

485071146 has 128 divisors (see below), whose sum is σ = 1270156800. Its totient is φ = 134369280.

The previous prime is 485071133. The next prime is 485071157. The reversal of 485071146 is 641170584.

It is a happy number.

485071146 is a `hidden beast` number, since 4 + 8 + 507 + 1 + 146 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 485071146.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2513226 + ... + 2513418.

It is an arithmetic number, because the mean of its divisors is an integer number (9923100).

Almost surely, 2485071146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485071146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635078400).

485071146 is an abundant number, since it is smaller than the sum of its proper divisors (785085654).

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

485071146 is a wasteful number, since it uses less digits than its factorization.

485071146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 485071146 is about 22024.3307730337. The cubic root of 485071146 is about 785.7212169054.

The spelling of 485071146 in words is "four hundred eighty-five million, seventy-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 109 122 126 183 189 193 218 327 366 378 386 427 549 579 654 763 854 981 1098 1158 1281 1351 1526 1647 1737 1962 2289 2562 2702 2943 3294 3474 3843 4053 4578 5211 5886 6649 6867 7686 8106 10422 11529 11773 12159 13298 13734 19947 20601 21037 23058 23546 24318 35319 36477 39894 41202 42074 46543 59841 63111 70638 72954 82411 93086 105957 119682 126222 139629 147259 164822 179523 189333 211914 247233 279258 294518 317871 359046 378666 418887 441777 494466 567999 635742 741699 837774 883554 1135998 1256661 1283257 1325331 1483398 2225097 2513322 2566514 2650662 3849771 3975993 4450194 7699542 7951986 8982799 11549313 17965598 23098626 26948397 34647939 53896794 69295878 80845191 161690382 242535573 485071146