Search a number
-
+
552286566 = 233131947881
BaseRepresentation
bin100000111010110…
…011100101100110
31102111020001202000
4200322303211212
52112341132231
6130445230130
716454233626
oct4072634546
91374201660
10552286566
1126382a087
12134b62346
138a5611b0
14534c6886
15337456e6
hex20eb3966

552286566 has 128 divisors (see below), whose sum is σ = 1422489600. Its totient is φ = 157386240.

The previous prime is 552286517. The next prime is 552286573. The reversal of 552286566 is 665682255.

552286566 is a `hidden beast` number, since 5 + 5 + 2 + 2 + 86 + 566 = 666.

552286566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626446 + ... + 627326.

It is an arithmetic number, because the mean of its divisors is an integer number (11113200).

Almost surely, 2552286566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552286566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711244800).

552286566 is an abundant number, since it is smaller than the sum of its proper divisors (870203034).

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

552286566 is a wasteful number, since it uses less digits than its factorization.

552286566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 552286566 is about 23500.7779871220. Note that the first 3 decimals coincide. The cubic root of 552286566 is about 820.4551142021.

The spelling of 552286566 in words is "five hundred fifty-two million, two hundred eighty-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 47 54 57 78 94 114 117 141 171 234 247 282 342 351 423 494 513 611 702 741 846 881 893 1026 1222 1269 1482 1762 1786 1833 2223 2538 2643 2679 3666 4446 5286 5358 5499 6669 7929 8037 10998 11453 11609 13338 15858 16074 16497 16739 22906 23218 23787 24111 32994 33478 34359 34827 41407 47574 48222 50217 68718 69654 82814 100434 103077 104481 124221 150651 206154 208962 217607 248442 301302 309231 313443 372663 435214 451953 538291 618462 626886 652821 745326 786733 903906 1076582 1117989 1305642 1573466 1614873 1958463 2235978 2360199 3229746 3916926 4720398 4844619 5875389 7080597 9689238 10227529 11750778 14161194 14533857 20455058 21241791 29067714 30682587 42483582 61365174 92047761 184095522 276143283 552286566