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85488018 = 237113147127
BaseRepresentation
bin1010001100001…
…11000110010010
312221212020111220
411012013012102
5133341104033
612252145510
72055431130
oct506070622
9187766456
1085488018
114428a460
1224768296
1314932335
14b4d4750
157789bb3
hex5187192

85488018 has 128 divisors (see below), whose sum is σ = 226492416. Its totient is φ = 20865600.

The previous prime is 85487977. The next prime is 85488061. The reversal of 85488018 is 81088458.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 673071 + ... + 673197.

It is an arithmetic number, because the mean of its divisors is an integer number (1769472).

Almost surely, 285488018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85488018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113246208).

85488018 is an abundant number, since it is smaller than the sum of its proper divisors (141004398).

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

85488018 is a wasteful number, since it uses less digits than its factorization.

85488018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 85488018 is about 9245.9730693962. The cubic root of 85488018 is about 440.5228254816.

The spelling of 85488018 in words is "eighty-five million, four hundred eighty-eight thousand, eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 47 62 66 77 93 94 127 141 154 186 217 231 254 282 329 341 381 434 462 517 651 658 682 762 889 987 1023 1034 1302 1397 1457 1551 1778 1974 2046 2387 2667 2794 2914 3102 3619 3937 4191 4371 4774 5334 5969 7161 7238 7874 8382 8742 9779 10199 10857 11811 11938 14322 16027 17907 19558 20398 21714 23622 27559 29337 30597 32054 35814 41783 43307 48081 55118 58674 61194 65659 82677 83566 86614 96162 112189 125349 129921 131318 165354 185039 196977 224378 250698 259842 303149 336567 370078 393954 459613 555117 606298 673134 909447 919226 1110234 1295273 1378839 1818894 2035429 2590546 2757678 3885819 4070858 6106287 7771638 12212574 14248003 28496006 42744009 85488018