Search a number
-
+
52288586010 = 23252922938737
BaseRepresentation
bin110000101100101001…
…001000000100011010
311222222002012101102200
4300230221020010122
51324041334223020
640004313511030
73530521435113
oct605451100432
9158862171380
1052288586010
11201a25a8651
12a173412476
134c13c4982b
14276066b20a
15156075e590
hexc2ca4811a

52288586010 has 96 divisors (see below), whose sum is σ = 140715703440. Its totient is φ = 13455396864.

The previous prime is 52288585933. The next prime is 52288586023. The reversal of 52288586010 is 1068588225.

52288586010 is a `hidden beast` number, since 52 + 2 + 8 + 8 + 586 + 0 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14610282129 + 37678303881 = 120873^2 + 194109^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 5980362 + ... + 5989098.

Almost surely, 252288586010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52288586010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70357851720).

52288586010 is an abundant number, since it is smaller than the sum of its proper divisors (88427117430).

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

52288586010 is a wasteful number, since it uses less digits than its factorization.

52288586010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11072 (or 11069 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 52288586010 in words is "fifty-two billion, two hundred eighty-eight million, five hundred eighty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2293 2610 4586 6879 8737 11465 13758 17474 20637 22930 26211 34395 41274 43685 52422 66497 68790 78633 87370 103185 131055 132994 157266 199491 206370 253373 262110 332485 393165 398982 506746 598473 664970 760119 786330 997455 1196946 1266865 1520238 1994910 2280357 2533730 2992365 3800595 4560714 5984730 7601190 11401785 20033941 22803570 40067882 60101823 100169705 120203646 180305469 200339410 300509115 360610938 580984289 601018230 901527345 1161968578 1742952867 1803054690 2904921445 3485905734 5228858601 5809842890 8714764335 10457717202 17429528670 26144293005 52288586010