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475004166 = 2371329131229
BaseRepresentation
bin11100010011111…
…111110100000110
31020002210201012220
4130103333310012
51433100113131
6115044553210
714525316540
oct3423776406
91202721186
10475004166
1122414472a
121130b2806
1377542a70
144712a690
152ba7be96
hex1c4ffd06

475004166 has 128 divisors (see below), whose sum is σ = 1224115200. Its totient is φ = 119508480.

The previous prime is 475004143. The next prime is 475004171. The reversal of 475004166 is 661400574.

It is a Curzon number.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 2074140 + ... + 2074368.

It is an arithmetic number, because the mean of its divisors is an integer number (9563400).

Almost surely, 2475004166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475004166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612057600).

475004166 is an abundant number, since it is smaller than the sum of its proper divisors (749111034).

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

475004166 is a wasteful number, since it uses less digits than its factorization.

475004166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 475004166 is about 21794.5902920885. The cubic root of 475004166 is about 780.2476564015.

The spelling of 475004166 in words is "four hundred seventy-five million, four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 131 174 182 203 229 262 273 377 393 406 458 546 609 687 754 786 917 1131 1218 1374 1603 1703 1834 2262 2639 2751 2977 3206 3406 3799 4809 5109 5278 5502 5954 6641 7598 7917 8931 9618 10218 11397 11921 13282 15834 17862 19923 20839 22794 23842 26593 29999 35763 39846 41678 46487 49387 53186 59998 62517 71526 79779 86333 89997 92974 98774 125034 139461 148161 159558 172666 179994 209993 258999 278922 296322 345709 389987 419986 517998 604331 629979 691418 779974 869971 1037127 1169961 1208662 1259958 1739942 1812993 2074254 2339922 2609913 2729909 3625986 5219826 5459818 6089797 8189727 11309623 12179594 16379454 18269391 22619246 33928869 36538782 67857738 79167361 158334722 237502083 475004166