Search a number
-
+
566496112 = 2471321732
BaseRepresentation
bin100001110001000…
…000101101110000
31110110221222120111
4201301000231300
52130010333422
6132113551104
720016065110
oct4161005560
91413858514
10566496112
11270854a06
12139875494
1390497b00
1455345040
1534b00a77
hex21c40b70

566496112 has 90 divisors (see below), whose sum is σ = 1366194552. Its totient is φ = 222812928.

The previous prime is 566496101. The next prime is 566496113. The reversal of 566496112 is 211694665.

It is a happy number.

It is a super-2 number, since 2×5664961122 = 641835689822233088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566496113) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3274458 + ... + 3274630.

Almost surely, 2566496112 is an apocalyptic number.

566496112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566496112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683097276).

566496112 is an abundant number, since it is smaller than the sum of its proper divisors (799698440).

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

566496112 is a wasteful number, since it uses less digits than its factorization.

566496112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 195 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 566496112 is about 23801.1787943371. The cubic root of 566496112 is about 827.4319970404.

The spelling of 566496112 in words is "five hundred sixty-six million, four hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 173 182 208 338 346 364 676 692 728 1183 1211 1352 1384 1456 2249 2366 2422 2704 2768 4498 4732 4844 8996 9464 9688 15743 17992 18928 19376 29237 29929 31486 35984 58474 59858 62972 116948 119716 125944 204659 209503 233896 239432 251888 389077 409318 419006 467792 478864 778154 818636 838012 1556308 1637272 1676024 2723539 3112616 3274544 3352048 5058001 5447078 6225232 10116002 10894156 20232004 21788312 35406007 40464008 43576624 70812014 80928016 141624028 283248056 566496112