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512969216 = 298312071
BaseRepresentation
bin11110100100110…
…100101000000000
31022202020112110212
4132210310220000
52022310003331
6122522413252
715466111034
oct3644645000
91282215425
10512969216
11243615401
12123961228
13823762a6
144c1b01c4
153007ad2b
hex1e934a00

512969216 has 40 divisors (see below), whose sum is σ = 1037371104. Its totient is φ = 253373440.

The previous prime is 512969189. The next prime is 512969227. The reversal of 512969216 is 612969215.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36461 + ... + 48531.

Almost surely, 2512969216 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 512969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518685552).

512969216 is an abundant number, since it is smaller than the sum of its proper divisors (524401888).

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

512969216 is an equidigital number, since it uses as much as digits as its factorization.

512969216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172 (or 12156 counting only the distinct ones).

The product of its digits is 58320, while the sum is 41.

The square root of 512969216 is about 22648.8237222157. The cubic root of 512969216 is about 800.5044818058.

Subtracting 512969216 from its reverse (612969215), we obtain a palindrome (99999999).

The spelling of 512969216 in words is "five hundred twelve million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1328 2656 5312 10624 12071 21248 24142 42496 48284 96568 193136 386272 772544 1001893 1545088 2003786 3090176 4007572 6180352 8015144 16030288 32060576 64121152 128242304 256484608 512969216