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82862676 = 223413103191
BaseRepresentation
bin1001111000001…
…10001001010100
312202220212020000
410330012021110
5132203101201
612120011300
72024215101
oct474061124
9182825200
1082862676
1142856a56
1223900b30
1314223390
14b00daa8
15741bd86
hex4f06254

82862676 has 120 divisors (see below), whose sum is σ = 236780544. Its totient is φ = 25116480.

The previous prime is 82862627. The next prime is 82862687. The reversal of 82862676 is 67626828.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 433741 + ... + 433931.

Almost surely, 282862676 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 82862676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118390272).

82862676 is an abundant number, since it is smaller than the sum of its proper divisors (153917868).

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

82862676 is a wasteful number, since it uses less digits than its factorization.

82862676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 82862676 is about 9102.8938255919. The cubic root of 82862676 is about 435.9663652756.

It can be divided in two parts, 82862 and 676, that added together give a palindrome (83538).

The spelling of 82862676 in words is "eighty-two million, eight hundred sixty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 103 108 117 156 162 191 206 234 309 324 351 382 412 468 573 618 702 764 927 1053 1146 1236 1339 1404 1719 1854 2106 2292 2483 2678 2781 3438 3708 4017 4212 4966 5157 5356 5562 6876 7449 8034 8343 9932 10314 11124 12051 14898 15471 16068 16686 19673 20628 22347 24102 29796 30942 33372 36153 39346 44694 48204 59019 61884 67041 72306 78692 89388 108459 118038 134082 144612 177057 201123 216918 236076 255749 268164 354114 402246 433836 511498 531171 708228 767247 804492 1022996 1062342 1534494 1593513 2124684 2301741 3068988 3187026 4603482 6374052 6905223 9206964 13810446 20715669 27620892 41431338 82862676