Search a number
-
+
664814656 = 261122932
BaseRepresentation
bin100111101000000…
…100010001000000
31201022222002021001
4213220010101000
52330143032111
6145545141344
722321555102
oct4750042100
91638862231
10664814656
113112a8100
1216678a854
13a797016c
1464419572
153d5721c1
hex27a04440

664814656 has 63 divisors (see below), whose sum is σ = 1455041413. Its totient is φ = 301157120.

The previous prime is 664814641. The next prime is 664814663. The reversal of 664814656 is 656418466.

The square root of 664814656 is 25784.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 629006400 + 35808256 = 25080^2 + 5984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2268846 + ... + 2269138.

Almost surely, 2664814656 is an apocalyptic number.

664814656 is the 25784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664814656

664814656 is an abundant number, since it is smaller than the sum of its proper divisors (790226757).

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

664814656 is an equidigital number, since it uses as much as digits as its factorization.

664814656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 306 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The cubic root of 664814656 is about 872.7707743257.

The spelling of 664814656 in words is "six hundred sixty-four million, eight hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 293 352 484 586 704 968 1172 1936 2344 3223 3872 4688 6446 7744 9376 12892 18752 25784 35453 51568 70906 85849 103136 141812 171698 206272 283624 343396 567248 686792 944339 1134496 1373584 1888678 2268992 2747168 3777356 5494336 7554712 10387729 15109424 20775458 30218848 41550916 60437696 83101832 166203664 332407328 664814656