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82654866 = 23272313023
BaseRepresentation
bin1001110110100…
…11011010010010
312202112022011100
410323103122102
5132124423431
612111325230
72022361200
oct473233222
9182468140
1082654866
1142724908
1223820816
131417c908
14ad98070
1573ca4e6
hex4ed3692

82654866 has 72 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 22846320.

The previous prime is 82654853. The next prime is 82654877. The reversal of 82654866 is 66845628.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25831 + ... + 28853.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 282654866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82654866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

82654866 is an abundant number, since it is smaller than the sum of its proper divisors (132460398).

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

82654866 is a wasteful number, since it uses less digits than its factorization.

82654866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3066 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 82654866 is about 9091.4721580171. The cubic root of 82654866 is about 435.6016091232.

It can be divided in two parts, 8265 and 4866, that added together give a palindrome (13131).

The spelling of 82654866 in words is "eighty-two million, six hundred fifty-four thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1953 3023 3038 3906 4557 6046 9069 9114 13671 18138 21161 27207 27342 42322 54414 63483 93713 126966 148127 187426 190449 281139 296254 380898 444381 562278 655991 843417 888762 1311982 1333143 1686834 1967973 2666286 3935946 4591937 5903919 9183874 11807838 13775811 27551622 41327433 82654866