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82462660 = 225719291069
BaseRepresentation
bin1001110101001…
…00011111000100
312202011112111121
410322210133010
5132102301120
612103243324
72020630630
oct472443704
9182145447
1082462660
1142603465
1223749544
1314113297
14ad47dc0
15738d5aa
hex4ea47c4

82462660 has 96 divisors (see below), whose sum is σ = 215712000. Its totient is φ = 25837056.

The previous prime is 82462657. The next prime is 82462669. The reversal of 82462660 is 6626428.

It is not an unprimeable number, because it can be changed into a prime (82462669) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76606 + ... + 77674.

It is an arithmetic number, because the mean of its divisors is an integer number (2247000).

Almost surely, 282462660 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 82462660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107856000).

82462660 is an abundant number, since it is smaller than the sum of its proper divisors (133249340).

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

82462660 is a wasteful number, since it uses less digits than its factorization.

82462660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 82462660 is about 9080.8953303075. The cubic root of 82462660 is about 435.2636970749.

The spelling of 82462660 in words is "eighty-two million, four hundred sixty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 58 70 76 95 116 133 140 145 190 203 266 290 380 406 532 551 580 665 812 1015 1069 1102 1330 2030 2138 2204 2660 2755 3857 4060 4276 5345 5510 7483 7714 10690 11020 14966 15428 19285 20311 21380 29932 31001 37415 38570 40622 62002 74830 77140 81244 101555 124004 142177 149660 155005 203110 217007 284354 310010 406220 434014 568708 589019 620020 710885 868028 1085035 1178038 1421770 2170070 2356076 2843540 2945095 4123133 4340140 5890190 8246266 11780380 16492532 20615665 41231330 82462660