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82323054 = 237112959
BaseRepresentation
bin1001110100000…
…10011001101110
312201220110000000
410322002121232
5132033314204
612100245130
72016506622
oct472023156
9181813000
1082323054
1142518590
12236a07a6
1314094888
14ad0d182
157362039
hex4e8266e

82323054 has 128 divisors (see below), whose sum is σ = 212544000. Its totient is φ = 23677920.

The previous prime is 82323053. The next prime is 82323071. The reversal of 82323054 is 45032328.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82323053) 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 63 ways as a sum of consecutive naturals, for example, 1395277 + ... + 1395335.

It is an arithmetic number, because the mean of its divisors is an integer number (1660500).

Almost surely, 282323054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82323054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106272000).

82323054 is an abundant number, since it is smaller than the sum of its proper divisors (130220946).

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

82323054 is a wasteful number, since it uses less digits than its factorization.

82323054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 82323054 is about 9073.2052770782. The cubic root of 82323054 is about 435.0179302954.

The spelling of 82323054 in words is "eighty-two million, three hundred twenty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 59 66 81 87 99 118 162 174 177 198 243 261 297 319 354 486 522 531 594 638 649 729 783 891 957 1062 1298 1458 1566 1593 1711 1782 1914 1947 2187 2349 2673 2871 3186 3422 3894 4374 4698 4779 5133 5346 5742 5841 7047 8019 8613 9558 10266 11682 14094 14337 15399 16038 17226 17523 18821 21141 24057 25839 28674 30798 35046 37642 42282 43011 46197 48114 51678 52569 56463 63423 77517 86022 92394 105138 112926 126846 129033 138591 155034 157707 169389 232551 258066 277182 315414 338778 415773 465102 473121 508167 697653 831546 946242 1016334 1247319 1395306 1419363 1524501 2494638 2838726 3049002 3741957 4573503 7483914 9147006 13720509 27441018 41161527 82323054