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55768986 = 235713297
BaseRepresentation
bin1101010010111…
…1011110011010
310212221100200000
43110233132122
5103234101421
65311153430
71245012540
oct324573632
9125840600
1055768986
1129531079
1216815876
13b728200
147599d90
154d69226
hex352f79a

55768986 has 144 divisors (see below), whose sum is σ = 156671424. Its totient is φ = 14556672.

The previous prime is 55768967. The next prime is 55769017. The reversal of 55768986 is 68986755.

55768986 is a `hidden beast` number, since 557 + 6 + 8 + 9 + 86 = 666.

It is a super-2 number, since 2×557689862 = 6220359598936392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 574890 + ... + 574986.

It is an arithmetic number, because the mean of its divisors is an integer number (1087996).

Almost surely, 255768986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55768986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78335712).

55768986 is an abundant number, since it is smaller than the sum of its proper divisors (100902438).

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

55768986 is a wasteful number, since it uses less digits than its factorization.

55768986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 55768986 is about 7467.8635499050. The cubic root of 55768986 is about 382.0594235197.

The spelling of 55768986 in words is "fifty-five million, seven hundred sixty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 97 117 126 162 169 182 189 194 234 243 273 291 338 351 378 486 507 546 567 582 679 702 819 873 1014 1053 1134 1183 1261 1358 1521 1638 1701 1746 2037 2106 2366 2457 2522 2619 3042 3159 3402 3549 3783 4074 4563 4914 5238 6111 6318 7098 7371 7566 7857 8827 9126 10647 11349 12222 13689 14742 15714 16393 17654 18333 21294 22113 22698 23571 26481 27378 31941 32786 34047 36666 41067 44226 47142 49179 52962 54999 63882 68094 79443 82134 95823 98358 102141 109998 114751 147537 158886 164997 191646 204282 229502 238329 287469 295074 306423 329994 344253 442611 476658 574938 612846 688506 714987 885222 1032759 1327833 1429974 2065518 2144961 2655666 3098277 3983499 4289922 6196554 7966998 9294831 18589662 27884493 55768986