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85279068 = 22347191979
BaseRepresentation
bin1010001010101…
…00000101011100
312221110121220000
411011110011130
5133312412233
612243454300
72053601010
oct505240534
9187417800
1085279068
1144157476
1224687390
131488b1b4
14b47c540
157747d13
hex515415c

85279068 has 120 divisors (see below), whose sum is σ = 268329600. Its totient is φ = 23071392.

The previous prime is 85279039. The next prime is 85279069. The reversal of 85279068 is 86097258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85279069) by changing a digit.

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, 42103 + ... + 44081.

It is an arithmetic number, because the mean of its divisors is an integer number (2236080).

Almost surely, 285279068 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 85279068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134164800).

85279068 is an abundant number, since it is smaller than the sum of its proper divisors (183050532).

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

85279068 is a wasteful number, since it uses less digits than its factorization.

85279068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 85279068 is about 9234.6666426028. Note that the first 4 decimals coincide. The cubic root of 85279068 is about 440.1636237184.

The spelling of 85279068 in words is "eighty-five million, two hundred seventy-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 1979 2052 2268 2394 3078 3591 3958 4788 5937 6156 7182 7916 10773 11874 13853 14364 17811 21546 23748 27706 35622 37601 41559 43092 53433 55412 71244 75202 83118 106866 112803 124677 150404 160299 166236 213732 225606 249354 263207 320598 338409 374031 451212 498708 526414 641196 676818 748062 789621 1015227 1052828 1122093 1353636 1496124 1579242 2030454 2244186 2368863 3045681 3158484 4060908 4488372 4737726 6091362 7106589 9475452 12182724 14213178 21319767 28426356 42639534 85279068