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85445928 = 2334131861
BaseRepresentation
bin1010001011111…
…00110100101000
312221210002210000
411011330310220
5133333232203
612251223000
72055164331
oct505746450
9187702700
1085445928
1144260877
1224747a60
1314919129
14b4c3288
15777c4a3
hex517cd28

85445928 has 40 divisors (see below), whose sum is σ = 239329530. Its totient is φ = 28481760.

The previous prime is 85445903. The next prime is 85445939. The reversal of 85445928 is 82954458.

85445928 is a `hidden beast` number, since 8 + 54 + 4 + 592 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84603204 + 842724 = 9198^2 + 918^2 .

It is a super-3 number, since 3×854459283 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65283 + ... + 66578.

Almost surely, 285445928 is an apocalyptic number.

It is an amenable number.

85445928 is an abundant number, since it is smaller than the sum of its proper divisors (153883602).

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

85445928 is a wasteful number, since it uses less digits than its factorization.

85445928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131879 (or 131866 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 85445928 is about 9243.6966631321. The cubic root of 85445928 is about 440.4505165196.

The spelling of 85445928 in words is "eighty-five million, four hundred forty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 131861 263722 395583 527444 791166 1054888 1186749 1582332 2373498 3164664 3560247 4746996 7120494 9493992 10680741 14240988 21361482 28481976 42722964 85445928