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85598982 = 23272374361
BaseRepresentation
bin1010001101000…
…10001100000110
312222001212201200
411012202030012
5133403131412
612254403330
72056402500
oct506421406
9188055650
1085598982
1144355867
1224800546
13149709b1
14b522d70
1577ac9dc
hex51a2306

85598982 has 144 divisors (see below), whose sum is σ = 230445072. Its totient is φ = 22861440.

The previous prime is 85598951. The next prime is 85598987. The reversal of 85598982 is 28989558.

85598982 is a `hidden beast` number, since 8 + 559 + 8 + 9 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85598987) 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, 1403232 + ... + 1403292.

It is an arithmetic number, because the mean of its divisors is an integer number (1600313).

Almost surely, 285598982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85598982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115222536).

85598982 is an abundant number, since it is smaller than the sum of its proper divisors (144846090).

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

85598982 is a wasteful number, since it uses less digits than its factorization.

85598982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The square root of 85598982 is about 9251.9717898403. The cubic root of 85598982 is about 440.7133435659.

The spelling of 85598982 in words is "eighty-five million, five hundred ninety-eight thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 43 49 61 63 74 86 98 111 122 126 129 147 183 222 258 259 294 301 333 366 387 427 441 518 549 602 666 774 777 854 882 903 1098 1281 1554 1591 1806 1813 2107 2257 2331 2562 2623 2709 2989 3182 3626 3843 4214 4514 4662 4773 5246 5418 5439 5978 6321 6771 7686 7869 8967 9546 10878 11137 12642 13542 14319 15738 15799 16317 17934 18361 18963 20313 22274 23607 26901 28638 31598 32634 33411 36722 37926 40626 47214 47397 53802 55083 66822 77959 94794 97051 100233 110166 110593 128527 142191 155918 165249 194102 200466 221186 233877 257054 284382 291153 330498 331779 385581 467754 582306 663558 679357 701631 771162 873459 995337 1156743 1358714 1403262 1746918 1990674 2038071 2313486 4076142 4755499 6114213 9510998 12228426 14266497 28532994 42799491 85598982