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55888668 = 2232111071319
BaseRepresentation
bin1101010100110…
…0101100011100
310220011102211200
43111030230130
5103301414133
65313515500
71246021503
oct325145434
9126142750
1055888668
1129602a90
1216872b90
13b76a824
1475cb83a
154d8e913
hex354cb1c

55888668 has 72 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 16764960.

The previous prime is 55888663. The next prime is 55888697. The reversal of 55888668 is 86688855.

55888668 is a `hidden beast` number, since 558 + 8 + 86 + 6 + 8 = 666.

55888668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55888663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41713 + ... + 43031.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 255888668 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 55888668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

55888668 is an abundant number, since it is smaller than the sum of its proper divisors (99786852).

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

55888668 is a wasteful number, since it uses less digits than its factorization.

55888668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1442 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The square root of 55888668 is about 7475.8723905642. The cubic root of 55888668 is about 382.3325320973.

The spelling of 55888668 in words is "fifty-five million, eight hundred eighty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 198 214 321 396 428 642 963 1177 1284 1319 1926 2354 2638 3531 3852 3957 4708 5276 7062 7914 10593 11871 14124 14509 15828 21186 23742 29018 42372 43527 47484 58036 87054 130581 141133 174108 261162 282266 423399 522324 564532 846798 1270197 1552463 1693596 2540394 3104926 4657389 5080788 6209852 9314778 13972167 18629556 27944334 55888668