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513164466 = 232131283769
BaseRepresentation
bin11110100101100…
…100010010110010
31022202121110022100
4132211210102302
52022332230331
6122530521230
715500553213
oct3645442262
91282543270
10513164466
11243739071
12123a36216
1382414119
144c22140a
15300b8ae6
hex1e9644b2

513164466 has 48 divisors (see below), whose sum is σ = 1125764640. Its totient is φ = 168929280.

The previous prime is 513164441. The next prime is 513164467. The reversal of 513164466 is 664461315.

It is a happy number.

513164466 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 644 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513164466.

It is not an unprimeable number, because it can be changed into a prime (513164467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666930 + ... + 667698.

It is an arithmetic number, because the mean of its divisors is an integer number (23453430).

Almost surely, 2513164466 is an apocalyptic number.

513164466 is an abundant number, since it is smaller than the sum of its proper divisors (612600174).

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

513164466 is a wasteful number, since it uses less digits than its factorization.

513164466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1188 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 513164466 is about 22653.1336905074. The cubic root of 513164466 is about 800.6060334967.

The spelling of 513164466 in words is "five hundred thirteen million, one hundred sixty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 131 262 283 393 566 769 786 849 1179 1538 1698 2307 2358 2547 4614 5094 6921 13842 37073 74146 100739 111219 201478 217627 222438 302217 333657 435254 604434 652881 667314 906651 1305762 1813302 1958643 3917286 28509137 57018274 85527411 171054822 256582233 513164466