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85968198 = 232191731453
BaseRepresentation
bin1010001111111…
…00010101000110
312222202122012100
411013330111012
5134001440243
612310332530
72062501101
oct507742506
9188678170
1085968198
11445881a8
122495a146
1314a6ca74
14b5bb738
1578320d3
hex51fc546

85968198 has 48 divisors (see below), whose sum is σ = 197336880. Its totient is φ = 26972352.

The previous prime is 85968193. The next prime is 85968221. The reversal of 85968198 is 89186958.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85968193) 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, 58440 + ... + 59892.

It is an arithmetic number, because the mean of its divisors is an integer number (4111185).

Almost surely, 285968198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85968198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98668440).

85968198 is an abundant number, since it is smaller than the sum of its proper divisors (111368682).

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

85968198 is a wasteful number, since it uses less digits than its factorization.

85968198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1650 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 85968198 is about 9271.9036880244. The cubic root of 85968198 is about 441.3460809371.

The spelling of 85968198 in words is "eighty-five million, nine hundred sixty-eight thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 173 342 346 519 1038 1453 1557 2906 3114 3287 4359 6574 8718 9861 13077 19722 26154 27607 29583 55214 59166 82821 165642 248463 251369 496926 502738 754107 1508214 2262321 4524642 4776011 9552022 14328033 28656066 42984099 85968198