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42270585 = 3572172199
BaseRepresentation
bin1010000100111…
…1111101111001
32221112120100020
42201033331321
541310124320
64110001053
71022202600
oct241177571
987476306
1042270585
1121951575
12121a6189
1389b01a6
145884a37
153a9e940
hex284ff79

42270585 has 72 divisors (see below), whose sum is σ = 83995200. Its totient is φ = 18095616.

The previous prime is 42270581. The next prime is 42270587. The reversal of 42270585 is 58507224.

It is not a de Polignac number, because 42270585 - 22 = 42270581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42270581) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212316 + ... + 212514.

It is an arithmetic number, because the mean of its divisors is an integer number (1166600).

Almost surely, 242270585 is an apocalyptic number.

It is an amenable number.

42270585 is a deficient number, since it is larger than the sum of its proper divisors (41724615).

42270585 is a wasteful number, since it uses less digits than its factorization.

42270585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 42270585 is about 6501.5832687123. The cubic root of 42270585 is about 348.3475438650.

The spelling of 42270585 in words is "forty-two million, two hundred seventy thousand, five hundred eighty-five".

Divisors: 1 3 5 7 15 17 21 35 49 51 85 105 119 147 199 245 255 289 357 595 597 735 833 867 995 1393 1445 1785 2023 2499 2985 3383 4165 4179 4335 6069 6965 9751 10115 10149 12495 14161 16915 20895 23681 29253 30345 42483 48755 50745 57511 70805 71043 118405 146265 165767 172533 212415 287555 355215 402577 497301 828835 862665 1207731 2012885 2486505 2818039 6038655 8454117 14090195 42270585