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516163056 = 243234383131
BaseRepresentation
bin11110110001000…
…000010111110000
31022222020210121020
4132301000113300
52024114204211
6123115055440
715535212363
oct3661002760
91288223536
10516163056
112453a6a42
12124a41580
1382c23c36
144c7a20da
15304ac306
hex1ec405f0

516163056 has 160 divisors (see below), whose sum is σ = 1451907072. Its totient is φ = 157597440.

The previous prime is 516163001. The next prime is 516163097. The reversal of 516163056 is 650361615.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3940111 + ... + 3940241.

Almost surely, 2516163056 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 516163056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725953536).

516163056 is an abundant number, since it is smaller than the sum of its proper divisors (935744016).

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

516163056 is a wasteful number, since it uses less digits than its factorization.

516163056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 516163056 is about 22719.2221697839. Note that the first 3 decimals coincide. The cubic root of 516163056 is about 802.1624080562.

The spelling of 516163056 in words is "five hundred sixteen million, one hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 69 83 86 92 129 131 138 166 172 184 249 258 262 276 332 344 368 393 498 516 524 552 664 688 786 989 996 1032 1048 1104 1328 1572 1909 1978 1992 2064 2096 2967 3013 3144 3569 3818 3956 3984 5633 5727 5934 6026 6288 7138 7636 7912 9039 10707 10873 11266 11454 11868 12052 14276 15272 15824 16899 18078 21414 21746 22532 22908 23736 24104 28552 30544 32619 33798 36156 42828 43492 45064 45816 47472 48208 57104 65238 67596 72312 82087 85656 86984 90128 91632 129559 130476 135192 144624 164174 171312 173968 246261 250079 259118 260952 270384 328348 388677 467539 492522 500158 518236 521904 656696 750237 777354 935078 985044 1000316 1036472 1313392 1402617 1500474 1554708 1870156 1970088 2000632 2072944 2805234 3000948 3109416 3740312 3940176 4001264 5610468 6001896 6218832 7480624 10753397 11220936 12003792 21506794 22441872 32260191 43013588 64520382 86027176 129040764 172054352 258081528 516163056