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828098166 = 237191278171
BaseRepresentation
bin110001010110111…
…100011001110110
32010201012202010110
4301112330121312
53143443120131
6214101003450
726343501240
oct6126743166
92121182113
10828098166
11395492455
121b13b3586
1310274031c
147bda1090
154ca77646
hex315bc676

828098166 has 64 divisors (see below), whose sum is σ = 2008350720. Its totient is φ = 222354720.

The previous prime is 828098137. The next prime is 828098189. The reversal of 828098166 is 661890828.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 97261 + ... + 105431.

It is an arithmetic number, because the mean of its divisors is an integer number (31380480).

Almost surely, 2828098166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828098166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004175360).

828098166 is an abundant number, since it is smaller than the sum of its proper divisors (1180252554).

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

828098166 is a wasteful number, since it uses less digits than its factorization.

828098166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329.

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 828098166 is about 28776.6948414859. The cubic root of 828098166 is about 939.0612954347.

The spelling of 828098166 in words is "eight hundred twenty-eight million, ninety-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 127 133 254 266 381 399 762 798 889 1778 2413 2667 4826 5334 7239 8171 14478 16342 16891 24513 33782 49026 50673 57197 101346 114394 155249 171591 310498 343182 465747 931494 1037717 1086743 2075434 2173486 3113151 3260229 6226302 6520458 7264019 14528038 19716623 21792057 39433246 43584114 59149869 118299738 138016361 276032722 414049083 828098166