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85269012 = 22341712441
BaseRepresentation
bin1010001010100…
…01101000010100
312221110010002120
411011101220110
5133312102022
612243335540
72053526463
oct505215024
9187403076
1085269012
114414a964
12246815b0
131488674a
14b4789da
157744d5c
hex5151a14

85269012 has 48 divisors (see below), whose sum is σ = 206769024. Its totient is φ = 27328000.

The previous prime is 85269001. The next prime is 85269013. The reversal of 85269012 is 21096258.

It is a super-2 number, since 2×852690122 = 14541608814912288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85269013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33712 + ... + 36152.

It is an arithmetic number, because the mean of its divisors is an integer number (4307688).

Almost surely, 285269012 is an apocalyptic number.

85269012 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

85269012 is an abundant number, since it is smaller than the sum of its proper divisors (121500012).

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

85269012 is a wasteful number, since it uses less digits than its factorization.

85269012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 85269012 is about 9234.1221564370. The cubic root of 85269012 is about 440.1463218587.

It can be divided in two parts, 852 and 69012, that multiplied together give a square (58798224 = 76682).

The spelling of 85269012 in words is "eighty-five million, two hundred sixty-nine thousand, twelve".

Divisors: 1 2 3 4 6 12 41 71 82 123 142 164 213 246 284 426 492 852 2441 2911 4882 5822 7323 8733 9764 11644 14646 17466 29292 34932 100081 173311 200162 300243 346622 400324 519933 600486 693244 1039866 1200972 2079732 7105751 14211502 21317253 28423004 42634506 85269012