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82911114 = 23511131193
BaseRepresentation
bin1001111000100…
…01111110001010
312210000022200000
410330101332022
5132211123424
612121023430
72024506236
oct474217612
9183008600
1082911114
114288a390
1223924b76
131423c440
14b0235c6
15742b3c9
hex4f11f8a

82911114 has 96 divisors (see below), whose sum is σ = 219046464. Its totient is φ = 23172480.

The previous prime is 82911047. The next prime is 82911131. The reversal of 82911114 is 41111928.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68902 + ... + 70094.

It is an arithmetic number, because the mean of its divisors is an integer number (2281734).

Almost surely, 282911114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82911114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109523232).

82911114 is an abundant number, since it is smaller than the sum of its proper divisors (136135350).

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

82911114 is a wasteful number, since it uses less digits than its factorization.

82911114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 82911114 is about 9105.5540193884. The cubic root of 82911114 is about 436.0512978669.

The spelling of 82911114 in words is "eighty-two million, nine hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 858 891 1053 1193 1287 1782 2106 2386 2574 2673 3159 3579 3861 5346 6318 7158 7722 10737 11583 13123 15509 21474 23166 26246 31018 32211 34749 39369 46527 64422 69498 78738 93054 96633 118107 139581 170599 193266 236214 279162 289899 341198 354321 418743 511797 579798 708642 837486 1023594 1062963 1256229 1535391 2125926 2512458 3070782 3188889 3768687 4606173 6377778 7537374 9212346 13818519 27637038 41455557 82911114