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85093848 = 23337167337
BaseRepresentation
bin1010001001001…
…10110111011000
312221010012211000
411010212313120
5133241000343
612235505000
72052200010
oct504466730
9187105730
1085093848
11440402a4
12245b8160
1314824ab8
14b430c40
15770ced3
hex5126dd8

85093848 has 128 divisors (see below), whose sum is σ = 272563200. Its totient is φ = 24095232.

The previous prime is 85093847. The next prime is 85093867. The reversal of 85093848 is 84839058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85093847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252336 + ... + 252672.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 285093848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85093848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

85093848 is an abundant number, since it is smaller than the sum of its proper divisors (187469352).

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

85093848 is a wasteful number, since it uses less digits than its factorization.

85093848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 85093848 is about 9224.6326756137. The cubic root of 85093848 is about 439.8447248245.

The spelling of 85093848 in words is "eighty-five million, ninety-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 167 168 189 216 252 334 337 378 501 504 668 674 756 1002 1011 1169 1336 1348 1503 1512 2004 2022 2338 2359 2696 3006 3033 3507 4008 4044 4509 4676 4718 6012 6066 7014 7077 8088 9018 9099 9352 9436 10521 12024 12132 14028 14154 18036 18198 18872 21042 21231 24264 28056 28308 31563 36072 36396 42084 42462 56279 56616 63126 63693 72792 84168 84924 112558 126252 127386 168837 169848 225116 252504 254772 337674 393953 450232 506511 509544 675348 787906 1013022 1181859 1350696 1519533 1575812 2026044 2363718 3039066 3151624 3545577 4052088 4727436 6078132 7091154 9454872 10636731 12156264 14182308 21273462 28364616 42546924 85093848