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82105422 = 23719313319
BaseRepresentation
bin1001110010011…
…01010001001110
312201111101110120
410321031101032
5132004333142
612051445410
72014612260
oct471152116
9181441416
1082105422
114238a023
12235b6866
13140197b9
14ac93b30
15731c7ec
hex4e4d44e

82105422 has 64 divisors (see below), whose sum is σ = 203980800. Its totient is φ = 21500640.

The previous prime is 82105417. The next prime is 82105477. The reversal of 82105422 is 22450128.

It is a junction number, because it is equal to n+sod(n) for n = 82105392 and 82105401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23079 + ... + 26397.

It is an arithmetic number, because the mean of its divisors is an integer number (3187200).

Almost surely, 282105422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82105422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101990400).

82105422 is an abundant number, since it is smaller than the sum of its proper divisors (121875378).

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

82105422 is a wasteful number, since it uses less digits than its factorization.

82105422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 82105422 is about 9061.2042246050. The cubic root of 82105422 is about 434.6342493054.

The spelling of 82105422 in words is "eighty-two million, one hundred five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 3319 3534 4123 6638 8246 9957 12369 19914 23233 24738 46466 63061 69699 102889 126122 139398 189183 205778 308667 378366 441427 617334 720223 882854 1324281 1440446 1954891 2160669 2648562 3909782 4321338 5864673 11729346 13684237 27368474 41052711 82105422