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533385810 = 23454116061
BaseRepresentation
bin11111110010101…
…101001001010010
31101011122210210000
4133302231021102
52043021321220
6124532150430
716134463446
oct3762551122
91334583700
10533385810
1125409a721
1212a768416
1386674209
1450ba6826
1531c60390
hex1fcad252

533385810 has 80 divisors (see below), whose sum is σ = 1469287512. Its totient is φ = 138758400.

The previous prime is 533385781. The next prime is 533385817. The reversal of 533385810 is 18583335.

533385810 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114896961 + 418488849 = 10719^2 + 20457^2 .

It is a super-2 number, since 2×5333858102 = 569000844618712200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (533385817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25180 + ... + 41240.

Almost surely, 2533385810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533385810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734643756).

533385810 is an abundant number, since it is smaller than the sum of its proper divisors (935901702).

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

533385810 is a wasteful number, since it uses less digits than its factorization.

533385810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16121 (or 16112 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 533385810 is about 23095.1468927998. The cubic root of 533385810 is about 810.9868630114.

The spelling of 533385810 in words is "five hundred thirty-three million, three hundred eighty-five thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 615 738 810 1107 1230 1845 2214 3321 3690 5535 6642 11070 16061 16605 32122 33210 48183 80305 96366 144549 160610 240915 289098 433647 481830 658501 722745 867294 1300941 1317002 1445490 1975503 2168235 2601882 3292505 3951006 4336470 5926509 6504705 6585010 9877515 11853018 13009410 17779527 19755030 29632545 35559054 53338581 59265090 88897635 106677162 177795270 266692905 533385810