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85659392 = 287133677
BaseRepresentation
bin1010001101100…
…00111100000000
312222011221121002
411012300330000
5133412100032
612255551132
72060043560
oct506607400
9188157532
1085659392
1144397195
122482b4a8
1314992340
14b53ada0
1577c0862
hex51b0f00

85659392 has 72 divisors (see below), whose sum is σ = 210499296. Its totient is φ = 33878016.

The previous prime is 85659367. The next prime is 85659401. The reversal of 85659392 is 29395658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21458 + ... + 25134.

Almost surely, 285659392 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 85659392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105249648).

85659392 is an abundant number, since it is smaller than the sum of its proper divisors (124839904).

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

85659392 is a wasteful number, since it uses less digits than its factorization.

85659392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3699 counting only the distinct ones).

The product of its digits is 583200, while the sum is 47.

The square root of 85659392 is about 9255.2359235192. The cubic root of 85659392 is about 440.8169944579.

The spelling of 85659392 in words is "eighty-five million, six hundred fifty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 3677 5824 7354 11648 14708 23296 25739 29416 47801 51478 58832 95602 102956 117664 191204 205912 235328 334607 382408 411824 470656 669214 764816 823648 941312 1338428 1529632 1647296 2676856 3059264 3294592 5353712 6118528 6589184 10707424 12237056 21414848 42829696 85659392