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82858660 = 225311071249
BaseRepresentation
bin1001111000001…
…01001010100100
312202220122201021
410330011022210
5132202434120
612115540524
72024200303
oct474051244
9182818637
1082858660
1142853a35
12238ba744
13142215c1
14b00c43a
15741aaaa
hex4f052a4

82858660 has 48 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 31749120.

The previous prime is 82858649. The next prime is 82858669. The reversal of 82858660 is 6685828.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82858669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65716 + ... + 66964.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 282858660 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 82858660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

82858660 is an abundant number, since it is smaller than the sum of its proper divisors (98581340).

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

82858660 is a wasteful number, since it uses less digits than its factorization.

82858660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 82858660 is about 9102.6732337265. The cubic root of 82858660 is about 435.9593220193.

The spelling of 82858660 in words is "eighty-two million, eight hundred fifty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 107 124 155 214 310 428 535 620 1070 1249 2140 2498 3317 4996 6245 6634 12490 13268 16585 24980 33170 38719 66340 77438 133643 154876 193595 267286 387190 534572 668215 774380 1336430 2672860 4142933 8285866 16571732 20714665 41429330 82858660