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505565652 = 223174767787
BaseRepresentation
bin11110001000100…
…101000111010100
31022020022101200210
4132020211013110
52013411100102
6122100005420
715346144224
oct3610450724
91266271623
10505565652
1123a418a59
12121390870
1380983497
144b204084
152e5b736c
hex1e2251d4

505565652 has 96 divisors (see below), whose sum is σ = 1296304128. Its totient is φ = 152722944.

The previous prime is 505565651. The next prime is 505565677. The reversal of 505565652 is 256565505.

It is a self number, because there is not a number n which added to its sum of digits gives 505565652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505565651) by changing a digit.

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, 642003 + ... + 642789.

It is an arithmetic number, because the mean of its divisors is an integer number (13503168).

Almost surely, 2505565652 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 505565652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648152064).

505565652 is an abundant number, since it is smaller than the sum of its proper divisors (790738476).

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

505565652 is a wasteful number, since it uses less digits than its factorization.

505565652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 39.

The square root of 505565652 is about 22484.7871237421. The cubic root of 505565652 is about 796.6346398739.

It can be divided in two parts, 5055 and 65652, that added together give a palindrome (70707).

The spelling of 505565652 in words is "five hundred five million, five hundred sixty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 47 51 67 68 94 102 134 141 188 201 204 268 282 402 564 787 799 804 1139 1574 1598 2278 2361 2397 3148 3149 3196 3417 4556 4722 4794 6298 6834 9444 9447 9588 12596 13379 13668 18894 26758 36989 37788 40137 52729 53516 53533 73978 80274 105458 107066 110967 147956 158187 160548 160599 210916 214132 221934 316374 321198 443868 628813 632748 642396 896393 1257626 1792786 1886439 2478263 2515252 2689179 3585572 3772878 4956526 5378358 7434789 7545756 9913052 10756716 14869578 29739156 42130471 84260942 126391413 168521884 252782826 505565652