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55114668 = 22347191279
BaseRepresentation
bin1101001000111…
…1101110101100
310211201010010000
43102033232230
5103102132133
65245144300
71236316110
oct322175654
9124633100
1055114668
1129124514
121655b090
13b55943b
147469740
154c8a413
hex348fbac

55114668 has 120 divisors (see below), whose sum is σ = 173465600. Its totient is φ = 14906592.

The previous prime is 55114639. The next prime is 55114679. The reversal of 55114668 is 86641155.

55114668 is a `hidden beast` number, since 551 + 1 + 46 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42453 + ... + 43731.

Almost surely, 255114668 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 55114668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86732800).

55114668 is an abundant number, since it is smaller than the sum of its proper divisors (118350932).

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

55114668 is a wasteful number, since it uses less digits than its factorization.

55114668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1310 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 55114668 is about 7423.9253767801. The cubic root of 55114668 is about 380.5593516812.

The spelling of 55114668 in words is "fifty-five million, one hundred fourteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1279 1539 1596 2052 2268 2394 2558 3078 3591 3837 4788 5116 6156 7182 7674 8953 10773 11511 14364 15348 17906 21546 23022 24301 26859 34533 35812 43092 46044 48602 53718 69066 72903 80577 97204 103599 107436 138132 145806 161154 170107 207198 218709 241731 291612 322308 340214 414396 437418 483462 510321 656127 680428 725193 874836 966924 1020642 1312254 1450386 1530963 1968381 2041284 2624508 2900772 3061926 3936762 4592889 6123852 7873524 9185778 13778667 18371556 27557334 55114668