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85933368 = 23321770207
BaseRepresentation
bin1010001111100…
…11110100111000
312222200212102100
411013303310320
5133444331433
612305503400
72062264413
oct507636470
9188625370
1085933368
1144564014
1224941b60
1314a59c61
14b5acb7a
157826b13
hex51f3d38

85933368 has 48 divisors (see below), whose sum is σ = 246430080. Its totient is φ = 26959104.

The previous prime is 85933361. The next prime is 85933369. The reversal of 85933368 is 86333958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85933361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33880 + ... + 36327.

It is an arithmetic number, because the mean of its divisors is an integer number (5133960).

Almost surely, 285933368 is an apocalyptic number.

It is an amenable number.

85933368 is an abundant number, since it is smaller than the sum of its proper divisors (160496712).

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

85933368 is a wasteful number, since it uses less digits than its factorization.

85933368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70236 (or 70229 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 85933368 is about 9270.0252426841. The cubic root of 85933368 is about 441.2864691239.

The spelling of 85933368 in words is "eighty-five million, nine hundred thirty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 70207 140414 210621 280828 421242 561656 631863 842484 1193519 1263726 1684968 2387038 2527452 3580557 4774076 5054904 7161114 9548152 10741671 14322228 21483342 28644456 42966684 85933368