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85043168 = 2573137331
BaseRepresentation
bin1010001000110…
…10011111100000
312221000122021222
411010122133200
5133232340133
612234434212
72051566160
oct504323740
9187018258
1085043168
1144006211
1224592968
1314807a02
14b41a5a0
1576ece98
hex511a7e0

85043168 has 96 divisors (see below), whose sum is σ = 203470848. Its totient is φ = 34214400.

The previous prime is 85043159. The next prime is 85043177. The reversal of 85043168 is 86134058.

It is an interprime number because it is at equal distance from previous prime (85043159) and next prime (85043177).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256763 + ... + 257093.

It is an arithmetic number, because the mean of its divisors is an integer number (2119488).

Almost surely, 285043168 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 85043168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101735424).

85043168 is an abundant number, since it is smaller than the sum of its proper divisors (118427680).

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

85043168 is a wasteful number, since it uses less digits than its factorization.

85043168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 85043168 is about 9221.8852736303. The cubic root of 85043168 is about 439.7573869105.

The spelling of 85043168 in words is "eighty-five million, forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 74 112 124 148 217 224 248 259 296 331 434 496 518 592 662 868 992 1036 1147 1184 1324 1736 2072 2294 2317 2648 3472 4144 4588 4634 5296 6944 8029 8288 9176 9268 10261 10592 12247 16058 18352 18536 20522 24494 32116 36704 37072 41044 48988 64232 71827 74144 82088 85729 97976 128464 143654 164176 171458 195952 256928 287308 328352 342916 379657 391904 574616 685832 759314 1149232 1371664 1518628 2298464 2657599 2743328 3037256 5315198 6074512 10630396 12149024 21260792 42521584 85043168