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85348347 = 37417241
BaseRepresentation
bin1010001011001…
…00111111111011
312221121010220220
411011210333323
5133322121342
612245151123
72054310000
oct505447773
9187533826
1085348347
11441a4527
12246bb4a3
13148b38a6
14b4998a7
15775d5ec
hex5164ffb

85348347 has 60 divisors (see below), whose sum is σ = 144464376. Its totient is φ = 44782080.

The previous prime is 85348343. The next prime is 85348349. The reversal of 85348347 is 74384358.

It is not a de Polignac number, because 85348347 - 22 = 85348343 is a prime.

It is a super-3 number, since 3×853483473 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85348299 and 85348308.

It is not an unprimeable number, because it can be changed into a prime (85348343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2081647 + ... + 2081687.

Almost surely, 285348347 is an apocalyptic number.

85348347 is a deficient number, since it is larger than the sum of its proper divisors (59116029).

85348347 is an equidigital number, since it uses as much as digits as its factorization.

85348347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 68 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 85348347 is about 9238.4169098390. The cubic root of 85348347 is about 440.2827848151.

The spelling of 85348347 in words is "eighty-five million, three hundred forty-eight thousand, three hundred forty-seven".

Divisors: 1 3 7 17 21 41 49 51 119 123 147 287 289 343 357 697 833 861 867 1029 2009 2023 2091 2401 2499 4879 5831 6027 6069 7203 11849 14063 14161 14637 17493 34153 35547 40817 42189 42483 82943 98441 99127 102459 122451 239071 248829 295323 297381 580601 693889 717213 1673497 1741803 2081667 4064207 5020491 12192621 28449449 85348347