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82522314 = 2357127191
BaseRepresentation
bin1001110101100…
…11000011001010
312202021120100000
410322303003022
5132111203224
612104423430
72021266560
oct472630312
9182246300
1082522314
1142644266
1223777b76
1314134494
14ad61a30
1573a10c9
hex4eb30ca

82522314 has 96 divisors (see below), whose sum is σ = 214695936. Its totient is φ = 23269680.

The previous prime is 82522303. The next prime is 82522327. The reversal of 82522314 is 41322528.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 431959 + ... + 432149.

It is an arithmetic number, because the mean of its divisors is an integer number (2236416).

Almost surely, 282522314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82522314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107347968).

82522314 is an abundant number, since it is smaller than the sum of its proper divisors (132173622).

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

82522314 is a wasteful number, since it uses less digits than its factorization.

82522314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 82522314 is about 9084.1793245180. The cubic root of 82522314 is about 435.3686292627.

The spelling of 82522314 in words is "eighty-two million, five hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 127 162 189 191 243 254 378 381 382 486 567 573 762 889 1134 1143 1146 1337 1701 1719 1778 2286 2667 2674 3402 3429 3438 4011 5157 5334 6858 8001 8022 10287 10314 12033 15471 16002 20574 24003 24066 24257 30861 30942 36099 46413 48006 48514 61722 72009 72198 72771 92826 108297 144018 145542 169799 216027 216594 218313 324891 339598 432054 436626 509397 649782 654939 1018794 1309878 1528191 1964817 3056382 3929634 4584573 5894451 9169146 11788902 13753719 27507438 41261157 82522314