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85871008 = 251011632
BaseRepresentation
bin1010001111001…
…00100110100000
312222120200212201
411013210212200
5133440333013
612304302544
72061614536
oct507444640
9188520781
1085871008
1144521183
1224911a54
1314a37762
14b594156
1578133dd
hex51e49a0

85871008 has 36 divisors (see below), whose sum is σ = 171786258. Its totient is φ = 42249600.

The previous prime is 85870919. The next prime is 85871011. The reversal of 85871008 is 80017858.

It can be written as a sum of positive squares in only one way, i.e., 51437584 + 34433424 = 7172^2 + 5868^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 526735 + ... + 526897.

Almost surely, 285871008 is an apocalyptic number.

It is an amenable number.

85871008 is an abundant number, since it is smaller than the sum of its proper divisors (85915250).

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

85871008 is a wasteful number, since it uses less digits than its factorization.

85871008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 37.

The square root of 85871008 is about 9266.6611031158. The cubic root of 85871008 is about 441.1796992545.

The spelling of 85871008 in words is "eighty-five million, eight hundred seventy-one thousand, eight".

Divisors: 1 2 4 8 16 32 101 163 202 326 404 652 808 1304 1616 2608 3232 5216 16463 26569 32926 53138 65852 106276 131704 212552 263408 425104 526816 850208 2683469 5366938 10733876 21467752 42935504 85871008