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85549068 = 223311107673
BaseRepresentation
bin1010001100101…
…10000000001100
312221222100021000
411012112000030
5133400032233
612253340300
72056104123
oct506260014
9187870230
1085549068
1144321310
1224797690
1314954067
14b50caba
15779cd13
hex519600c

85549068 has 96 divisors (see below), whose sum is σ = 244581120. Its totient is φ = 25643520.

The previous prime is 85549067. The next prime is 85549081. The reversal of 85549068 is 86094558.

85549068 is a `hidden beast` number, since 8 + 554 + 90 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (85549067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126780 + ... + 127452.

It is an arithmetic number, because the mean of its divisors is an integer number (2547720).

Almost surely, 285549068 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 85549068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122290560).

85549068 is an abundant number, since it is smaller than the sum of its proper divisors (159032052).

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

85549068 is a wasteful number, since it uses less digits than its factorization.

85549068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85549068 is about 9249.2739174489. The cubic root of 85549068 is about 440.6276648096.

Subtracting 85549068 from its reverse (86094558), we obtain a triangular number (545490 = T1044).

It can be divided in two parts, 855490 and 68, that added together give a palindrome (855558).

The spelling of 85549068 in words is "eighty-five million, five hundred forty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 107 108 132 198 214 297 321 396 428 594 642 673 963 1177 1188 1284 1346 1926 2019 2354 2692 2889 3531 3852 4038 4708 5778 6057 7062 7403 8076 10593 11556 12114 14124 14806 18171 21186 22209 24228 29612 31779 36342 42372 44418 63558 66627 72011 72684 88836 127116 133254 144022 199881 216033 266508 288044 399762 432066 648099 792121 799524 864132 1296198 1584242 1944297 2376363 2592396 3168484 3888594 4752726 7129089 7777188 9505452 14258178 21387267 28516356 42774534 85549068