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85855338 = 232171914767
BaseRepresentation
bin1010001111000…
…00110001101010
312222112220101100
411013200301222
5133434332323
612304102230
72061521052
oct507406152
9188486340
1085855338
1144510428
1224904976
1314a3059a
14b58c562
15780d943
hex51e0c6a

85855338 has 48 divisors (see below), whose sum is σ = 207342720. Its totient is φ = 25515648.

The previous prime is 85855333. The next prime is 85855349. The reversal of 85855338 is 83355858.

It is a super-2 number, since 2×858553382 = 14742278126188488, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85855293 and 85855302.

It is not an unprimeable number, because it can be changed into a prime (85855331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570 + ... + 13197.

It is an arithmetic number, because the mean of its divisors is an integer number (4319640).

Almost surely, 285855338 is an apocalyptic number.

85855338 is an abundant number, since it is smaller than the sum of its proper divisors (121487382).

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

85855338 is a wasteful number, since it uses less digits than its factorization.

85855338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14811 (or 14808 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 85855338 is about 9265.8155604350. The cubic root of 85855338 is about 441.1528616888.

The spelling of 85855338 in words is "eighty-five million, eight hundred fifty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2907 5814 14767 29534 44301 88602 132903 251039 265806 280573 502078 561146 753117 841719 1506234 1683438 2259351 2525157 4518702 4769741 5050314 9539482 14309223 28618446 42927669 85855338