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505146568 = 2317241732
BaseRepresentation
bin11110000110111…
…110110011001000
31022012112002211011
4132012332303020
52013304142233
6122043013304
715342450343
oct3606766310
91265462734
10505146568
1123a162103
1212120a234
13808677c4
144b13545a
152e5330cd
hex1e1becc8

505146568 has 72 divisors (see below), whose sum is σ = 1044994230. Its totient is φ = 228741120.

The previous prime is 505146557. The next prime is 505146571. The reversal of 505146568 is 865641505.

It can be written as a sum of positive squares in 9 ways, for example, as 105226564 + 399920004 = 10258^2 + 19998^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 505146568.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6919780 + ... + 6919852.

Almost surely, 2505146568 is an apocalyptic number.

It is an amenable number.

505146568 is an abundant number, since it is smaller than the sum of its proper divisors (539847662).

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

505146568 is a wasteful number, since it uses less digits than its factorization.

505146568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 505146568 is about 22475.4659128571. The cubic root of 505146568 is about 796.4144580361.

The spelling of 505146568 in words is "five hundred five million, one hundred forty-six thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 17 34 41 68 73 82 136 146 164 289 292 328 578 584 697 1156 1241 1394 2312 2482 2788 2993 4964 5329 5576 5986 9928 10658 11849 11972 21097 21316 23698 23944 42194 42632 47396 50881 84388 90593 94792 101762 168776 181186 203524 218489 362372 407048 436978 724744 864977 873956 1540081 1729954 1747912 3080162 3459908 3714313 6160324 6919816 7428626 12320648 14857252 29714504 63143321 126286642 252573284 505146568