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52805075300 = 225217293106013
BaseRepresentation
bin110001001011011011…
…011000000101100100
312001022002001202112122
4301023123120011210
51331121044402200
640131444005112
73546362506565
oct611333300544
9161262052478
1052805075300
11204380a76aa
12a298390798
134c96c560b3
1427ad0b616c
151590c83385
hexc4b6d8164

52805075300 has 72 divisors (see below), whose sum is σ = 121742661096. Its totient is φ = 19811522560.

The previous prime is 52805075293. The next prime is 52805075377. The reversal of 52805075300 is 357050825.

It can be written as a sum of positive squares in 12 ways, for example, as 1509167104 + 51295908196 = 38848^2 + 226486^2 .

It is a super-3 number, since 3×528050753003 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445094 + ... + 551106.

It is an arithmetic number, because the mean of its divisors is an integer number (1690870293).

Almost surely, 252805075300 is an apocalyptic number.

52805075300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52805075300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60871330548).

52805075300 is an abundant number, since it is smaller than the sum of its proper divisors (68937585796).

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

52805075300 is a wasteful number, since it uses less digits than its factorization.

52805075300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106337 (or 106330 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 52805075300 in words is "fifty-two billion, eight hundred five million, seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 293 340 425 586 850 1172 1465 1700 2930 4981 5860 7325 9962 14650 19924 24905 29300 49810 99620 106013 124525 212026 249050 424052 498100 530065 1060130 1802221 2120260 2650325 3604442 5300650 7208884 9011105 10601300 18022210 31061809 36044420 45055525 62123618 90111050 124247236 155309045 180222100 310618090 528050753 621236180 776545225 1056101506 1553090450 2112203012 2640253765 3106180900 5280507530 10561015060 13201268825 26402537650 52805075300