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52017168 = 24372353127
BaseRepresentation
bin1100011001101…
…1100000010000
310121212202010210
43012123200100
5101304022133
65054524120
71201065360
oct306334020
9117782123
1052017168
11273a92a5
1215506640
13aa135b8
146ca09a0
154877763
hex319b810

52017168 has 160 divisors (see below), whose sum is σ = 164560896. Its totient is φ = 13837824.

The previous prime is 52017149. The next prime is 52017181. The reversal of 52017168 is 86171025.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409521 + ... + 409647.

Almost surely, 252017168 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 52017168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82280448).

52017168 is an abundant number, since it is smaller than the sum of its proper divisors (112543728).

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

52017168 is a wasteful number, since it uses less digits than its factorization.

52017168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 52017168 is about 7212.2928393126. The cubic root of 52017168 is about 373.2921879258.

The spelling of 52017168 in words is "fifty-two million, seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 53 56 69 84 92 106 112 127 138 159 161 168 184 212 254 276 318 322 336 368 371 381 424 483 508 552 636 644 742 762 848 889 966 1016 1104 1113 1219 1272 1288 1484 1524 1778 1932 2032 2226 2438 2544 2576 2667 2921 2968 3048 3556 3657 3864 4452 4876 5334 5842 5936 6096 6731 7112 7314 7728 8533 8763 8904 9752 10668 11684 13462 14224 14628 17066 17526 17808 19504 20193 20447 21336 23368 25599 26924 29256 34132 35052 40386 40894 42672 46736 47117 51198 53848 58512 61341 68264 70104 80772 81788 94234 102396 107696 122682 136528 140208 141351 154813 161544 163576 188468 204792 245364 282702 309626 323088 327152 376936 409584 464439 490728 565404 619252 753872 928878 981456 1083691 1130808 1238504 1857756 2167382 2261616 2477008 3251073 3715512 4334764 6502146 7431024 8669528 13004292 17339056 26008584 52017168