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52386282 = 232132171013
BaseRepresentation
bin1100011111010…
…1100111101010
310122120111110200
43013311213222
5101402330112
65110453030
71204163454
oct307654752
9118514420
1052386282
1127630653
1215664176
13ab12600
146d592d4
1548ebcdc
hex31f59ea

52386282 has 72 divisors (see below), whose sum is σ = 130264524. Its totient is φ = 15155712.

The previous prime is 52386281. The next prime is 52386283. The reversal of 52386282 is 28268325.

52386282 is a `hidden beast` number, since 5 + 23 + 8 + 628 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (52386281) and next prime (52386283).

It can be written as a sum of positive squares in 6 ways, for example, as 1535121 + 50851161 = 1239^2 + 7131^2 .

It is not an unprimeable number, because it can be changed into a prime (52386281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51208 + ... + 52220.

Almost surely, 252386282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52386282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65132262).

52386282 is an abundant number, since it is smaller than the sum of its proper divisors (77878242).

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

52386282 is a wasteful number, since it uses less digits than its factorization.

52386282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1048 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 52386282 is about 7237.8368315402. The cubic root of 52386282 is about 374.1730684985.

The spelling of 52386282 in words is "fifty-two million, three hundred eighty-six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 338 442 507 663 1013 1014 1326 1521 1989 2026 2873 3039 3042 3978 5746 6078 8619 9117 13169 17221 17238 18234 25857 26338 34442 39507 51663 51714 79014 103326 118521 154989 171197 223873 237042 309978 342394 447746 513591 671619 1027182 1343238 1540773 2014857 2910349 3081546 4029714 5820698 8731047 17462094 26193141 52386282