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51121686 = 237111723283
BaseRepresentation
bin1100001100000…
…0111000010110
310120012020202210
43003000320112
5101041343221
65023414250
71160345550
oct303007026
9116166683
1051121686
1126947530
1215154386
13a78bb25
146b0a4d0
15474c276
hex30c0e16

51121686 has 128 divisors (see below), whose sum is σ = 141336576. Its totient is φ = 11911680.

The previous prime is 51121657. The next prime is 51121717. The reversal of 51121686 is 68612115.

It is a super-2 number, since 2×511216862 = 5226853558965192, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180501 + ... + 180783.

It is an arithmetic number, because the mean of its divisors is an integer number (1104192).

Almost surely, 251121686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51121686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70668288).

51121686 is an abundant number, since it is smaller than the sum of its proper divisors (90214890).

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

51121686 is a wasteful number, since it uses less digits than its factorization.

51121686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346.

The product of its digits is 2880, while the sum is 30.

The square root of 51121686 is about 7149.9430766965. The cubic root of 51121686 is about 371.1376864394.

The spelling of 51121686 in words is "fifty-one million, one hundred twenty-one thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 23 33 34 42 46 51 66 69 77 102 119 138 154 161 187 231 238 253 283 322 357 374 391 462 483 506 561 566 714 759 782 849 966 1122 1173 1309 1518 1698 1771 1981 2346 2618 2737 3113 3542 3927 3962 4301 4811 5313 5474 5943 6226 6509 7854 8211 8602 9339 9622 10626 11886 12903 13018 14433 16422 18678 19527 21791 25806 28866 30107 33677 39054 43582 45563 52921 60214 65373 67354 71599 90321 91126 101031 105842 110653 130746 136689 143198 158763 180642 202062 214797 221306 273378 317526 331959 370447 429594 501193 663918 740894 774571 1002386 1111341 1217183 1503579 1549142 2222682 2323713 2434366 3007158 3651549 4647426 7303098 8520281 17040562 25560843 51121686