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82512612 = 223271389283
BaseRepresentation
bin1001110101100…
…00101011100100
312202021002000200
410322300223210
5132110400422
612104310500
72021226360
oct472605344
9182232020
1082512612
1142637a46
1223772430
131412cc40
14ad5c2a0
15739d2ac
hex4eb0ae4

82512612 has 144 divisors (see below), whose sum is σ = 260507520. Its totient is φ = 21441024.

The previous prime is 82512601. The next prime is 82512629. The reversal of 82512612 is 21621528.

It is a happy number.

It is a super-2 number, since 2×825126122 = 13616662278125088, which contains 22 as substring.

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, 291423 + ... + 291705.

It is an arithmetic number, because the mean of its divisors is an integer number (1809080).

Almost surely, 282512612 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 82512612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130253760).

82512612 is an abundant number, since it is smaller than the sum of its proper divisors (177994908).

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

82512612 is a wasteful number, since it uses less digits than its factorization.

82512612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 397 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 82512612 is about 9083.6453035111. The cubic root of 82512612 is about 435.3515667585.

The spelling of 82512612 in words is "eighty-two million, five hundred twelve thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 89 91 117 126 156 178 182 234 252 267 273 283 356 364 468 534 546 566 623 801 819 849 1068 1092 1132 1157 1246 1602 1638 1698 1869 1981 2314 2492 2547 3204 3276 3396 3471 3679 3738 3962 4628 5094 5607 5943 6942 7358 7476 7924 8099 10188 10413 11037 11214 11886 13884 14716 16198 17829 20826 22074 22428 23772 24297 25187 25753 32396 33111 35658 41652 44148 48594 50374 51506 66222 71316 72891 75561 77259 97188 100748 103012 132444 145782 151122 154518 176309 226683 231777 291564 302244 309036 327431 352618 453366 463554 528927 654862 705236 906732 927108 982293 1057854 1309724 1586781 1964586 2115708 2292017 2946879 3173562 3929172 4584034 5893758 6347124 6876051 9168068 11787516 13752102 20628153 27504204 41256306 82512612