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82303326 = 232719311109
BaseRepresentation
bin1001110011111…
…01100101011110
312201212102221100
410321331211132
5132032201301
612100013530
72016365250
oct471754536
9181772840
1082303326
1142504786
12236912a6
13140888c1
14ad05cd0
15735b286
hex4e7d95e

82303326 has 96 divisors (see below), whose sum is σ = 221644800. Its totient is φ = 21539520.

The previous prime is 82303303. The next prime is 82303327. The reversal of 82303326 is 62330328.

It is a self number, because there is not a number n which added to its sum of digits gives 82303326.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82303327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73660 + ... + 74768.

It is an arithmetic number, because the mean of its divisors is an integer number (2308800).

Almost surely, 282303326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82303326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110822400).

82303326 is an abundant number, since it is smaller than the sum of its proper divisors (139341474).

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

82303326 is a wasteful number, since it uses less digits than its factorization.

82303326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 82303326 is about 9072.1180547874. The cubic root of 82303326 is about 434.9831781049.

The spelling of 82303326 in words is "eighty-two million, three hundred three thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 798 1109 1178 1197 1302 1767 1953 2218 2394 3327 3534 3906 4123 5301 6654 7763 8246 9981 10602 12369 15526 19962 21071 23289 24738 34379 37107 42142 46578 63213 68758 69867 74214 103137 126426 139734 147497 189639 206274 240653 294994 309411 379278 442491 481306 618822 653201 721959 884982 1306402 1327473 1443918 1959603 2165877 2654946 3919206 4331754 4572407 5878809 9144814 11757618 13717221 27434442 41151663 82303326