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512929968 = 24331615651
BaseRepresentation
bin11110100100101…
…011000010110000
31022202011112122020
4132210223002300
52022302224333
6122521511440
715465555435
oct3644530260
91282145566
10512929968
11243598971
12123942580
1382361475
144c19db8c
153006e3b3
hex1e92b0b0

512929968 has 80 divisors (see below), whose sum is σ = 1390482432. Its totient is φ = 162720000.

The previous prime is 512929943. The next prime is 512929973. The reversal of 512929968 is 869929215.

It is a self number, because there is not a number n which added to its sum of digits gives 512929968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87943 + ... + 93593.

Almost surely, 2512929968 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 512929968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695241216).

512929968 is an abundant number, since it is smaller than the sum of its proper divisors (877552464).

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

512929968 is a wasteful number, since it uses less digits than its factorization.

512929968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5748 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 512929968 is about 22647.9572588788. The cubic root of 512929968 is about 800.4840653751.

The spelling of 512929968 in words is "five hundred twelve million, nine hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 244 248 366 372 488 496 732 744 976 1464 1488 1891 2928 3782 5651 5673 7564 11302 11346 15128 16953 22604 22692 30256 33906 45208 45384 67812 90416 90768 135624 175181 271248 344711 350362 525543 689422 700724 1034133 1051086 1378844 1401448 2068266 2102172 2757688 2802896 4136532 4204344 5515376 8273064 8408688 10686041 16546128 21372082 32058123 42744164 64116246 85488328 128232492 170976656 256464984 512929968