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82686996 = 223274153151
BaseRepresentation
bin1001110110110…
…11010000010100
312202120221020100
410323123100110
5132131440441
612112134100
72022553650
oct473332024
9182527210
1082686996
1142746a67
1223837330
1314191422
14ada5a60
1573d4cb6
hex4edb414

82686996 has 144 divisors (see below), whose sum is σ = 250967808. Its totient is φ = 22464000.

The previous prime is 82686991. The next prime is 82687039. The reversal of 82686996 is 69968628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82686991) 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 47 ways as a sum of consecutive naturals, for example, 547521 + ... + 547671.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 282686996 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 82686996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

82686996 is an abundant number, since it is smaller than the sum of its proper divisors (168280812).

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

82686996 is a wasteful number, since it uses less digits than its factorization.

82686996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 82686996 is about 9093.2390268815. The cubic root of 82686996 is about 435.6580448672.

The spelling of 82686996 in words is "eighty-two million, six hundred eighty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 53 63 82 84 106 123 126 151 159 164 212 246 252 287 302 318 369 371 453 477 492 574 604 636 738 742 861 906 954 1057 1113 1148 1359 1476 1484 1722 1812 1908 2114 2173 2226 2583 2718 3171 3339 3444 4228 4346 4452 5166 5436 6191 6342 6519 6678 8003 8692 9513 10332 12382 12684 13038 13356 15211 16006 18573 19026 19557 24009 24764 26076 30422 32012 37146 38052 39114 43337 45633 48018 55719 56021 60844 72027 74292 78228 86674 91266 96036 111438 112042 130011 136899 144054 168063 173348 182532 222876 224084 260022 273798 288108 328123 336126 390033 504189 520044 547596 656246 672252 780066 984369 1008378 1312492 1560132 1968738 2016756 2296861 2953107 3937476 4593722 5906214 6890583 9187444 11812428 13781166 20671749 27562332 41343498 82686996