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512540316 = 2232295359157
BaseRepresentation
bin11110100011001…
…011111010011100
31022201102202010200
4132203023322130
52022202242231
6122505303500
715462343431
oct3643137234
91281382120
10512540316
11243352142
12123794b90
1382255cc2
144c0dbb88
152eee3be6
hex1e8cbe9c

512540316 has 144 divisors (see below), whose sum is σ = 1397541600. Its totient is φ = 158086656.

The previous prime is 512540309. The next prime is 512540323. The reversal of 512540316 is 613045215.

It is an interprime number because it is at equal distance from previous prime (512540309) and next prime (512540323).

It is a self number, because there is not a number n which added to its sum of digits gives 512540316.

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 47 ways as a sum of consecutive naturals, for example, 3264510 + ... + 3264666.

It is an arithmetic number, because the mean of its divisors is an integer number (9705150).

Almost surely, 2512540316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512540316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698770800).

512540316 is an abundant number, since it is smaller than the sum of its proper divisors (885001284).

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

512540316 is a wasteful number, since it uses less digits than its factorization.

512540316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 512540316 is about 22639.3532593137. The cubic root of 512540316 is about 800.2813156486.

The spelling of 512540316 in words is "five hundred twelve million, five hundred forty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 59 87 106 116 118 157 159 174 177 212 236 261 314 318 348 354 471 477 522 531 628 636 708 942 954 1044 1062 1413 1537 1711 1884 1908 2124 2826 3074 3127 3422 4553 4611 5133 5652 6148 6254 6844 8321 9106 9222 9263 9381 10266 12508 13659 13833 15399 16642 18212 18444 18526 18762 20532 24963 27318 27666 27789 28143 30798 33284 37052 37524 40977 49926 54636 55332 55578 56286 61596 74889 81954 83367 90683 99852 111156 112572 149778 163908 166734 181366 241309 268627 272049 299556 333468 362732 482618 490939 537254 544098 723927 805881 816147 965236 981878 1074508 1088196 1447854 1472817 1611762 1632294 1963756 2171781 2417643 2895708 2945634 3223524 3264588 4343562 4418451 4835286 5891268 8687124 8836902 9670572 14237231 17673804 28474462 42711693 56948924 85423386 128135079 170846772 256270158 512540316