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55681290 = 23357171733
BaseRepresentation
bin1101010001101…
…0000100001010
310212202220101000
43110122010022
5103223300130
65305235430
71244166060
oct324320412
9125686330
1055681290
11294811a5
1216792b76
13b6c7312
147576030
154d4d260
hex351a10a

55681290 has 128 divisors (see below), whose sum is σ = 179781120. Its totient is φ = 11971584.

The previous prime is 55681279. The next prime is 55681303. The reversal of 55681290 is 9218655.

It is a happy number.

55681290 is a `hidden beast` number, since 5 + 568 + 1 + 2 + 90 = 666.

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, 31264 + ... + 32996.

It is an arithmetic number, because the mean of its divisors is an integer number (1404540).

Almost surely, 255681290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55681290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89890560).

55681290 is an abundant number, since it is smaller than the sum of its proper divisors (124099830).

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

55681290 is a wasteful number, since it uses less digits than its factorization.

55681290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 55681290 is about 7461.9896810435. The cubic root of 55681290 is about 381.8590573122.

The spelling of 55681290 in words is "fifty-five million, six hundred eighty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1530 1733 1785 1890 2142 2295 3213 3466 3570 4590 5199 5355 6426 8665 10398 10710 12131 15597 16065 17330 24262 25995 29461 31194 32130 36393 46791 51990 58922 60655 72786 77985 88383 93582 109179 121310 147305 155970 176766 181965 206227 218358 233955 265149 294610 327537 363930 412454 441915 467910 530298 545895 618681 655074 795447 883830 1031135 1091790 1237362 1325745 1590894 1637685 1856043 2062270 2651490 3093405 3275370 3712086 3977235 5568129 6186810 7954470 9280215 11136258 18560430 27840645 55681290