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512080470 = 232511259797
BaseRepresentation
bin11110100001011…
…011101001010110
31022200120101100100
4132201123221112
52022043033340
6122451354530
715455416656
oct3641335126
91280511310
10512080470
11243068700
121235b2a46
13821248c5
144c01c366
152ee52830
hex1e85ba56

512080470 has 144 divisors (see below), whose sum is σ = 1490121360. Its totient is φ = 121883520.

The previous prime is 512080469. The next prime is 512080489. The reversal of 512080470 is 74080215.

512080470 is a `hidden beast` number, since 512 + 0 + 80 + 4 + 70 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 642112 + ... + 642908.

It is an arithmetic number, because the mean of its divisors is an integer number (10348065).

Almost surely, 2512080470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512080470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745060680).

512080470 is an abundant number, since it is smaller than the sum of its proper divisors (978040890).

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

512080470 is a wasteful number, since it uses less digits than its factorization.

512080470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 512080470 is about 22629.1950806917. The cubic root of 512080470 is about 800.0419092628.

The spelling of 512080470 in words is "five hundred twelve million, eighty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 59 66 90 99 110 118 121 165 177 198 242 295 330 354 363 495 531 590 605 649 726 797 885 990 1062 1089 1210 1298 1594 1770 1815 1947 2178 2391 2655 3245 3630 3894 3985 4782 5310 5445 5841 6490 7139 7173 7970 8767 9735 10890 11682 11955 14278 14346 17534 19470 21417 23910 26301 29205 35695 35865 42834 43835 47023 52602 58410 64251 71390 71730 78903 87670 94046 96437 107085 128502 131505 141069 157806 192874 214170 235115 263010 282138 289311 321255 394515 423207 470230 482185 517253 578622 642510 705345 789030 846414 867933 964370 1034506 1410690 1446555 1551759 1735866 2116035 2586265 2893110 3103518 4232070 4339665 4655277 5172530 5689783 7758795 8679330 9310554 11379566 15517590 17069349 23276385 28448915 34138698 46552770 51208047 56897830 85346745 102416094 170693490 256040235 512080470