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85005018 = 2337224881
BaseRepresentation
bin1010001000100…
…01001011011010
312220221200222000
411010101023122
5133230130033
612233541430
72051350020
oct504211332
9186850860
1085005018
1143a8a58a
1224574876
13147c3537
14b40a710
1576e1a13
hex51112da

85005018 has 32 divisors (see below), whose sum is σ = 215886720. Its totient is φ = 24287040.

The previous prime is 85005001. The next prime is 85005059. The reversal of 85005018 is 81050058.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 85004982 and 85005000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112063 + ... + 112818.

It is an arithmetic number, because the mean of its divisors is an integer number (6746460).

Almost surely, 285005018 is an apocalyptic number.

85005018 is an abundant number, since it is smaller than the sum of its proper divisors (130881702).

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

85005018 is a wasteful number, since it uses less digits than its factorization.

85005018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224899 (or 224893 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 85005018 is about 9219.8165925359. The cubic root of 85005018 is about 439.6916193167.

The spelling of 85005018 in words is "eighty-five million, five thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 224881 449762 674643 1349286 1574167 2023929 3148334 4047858 4722501 6071787 9445002 12143574 14167503 28335006 42502509 85005018