Search a number
-
+
55055560 = 23572383103
BaseRepresentation
bin1101001000000…
…1010011001000
310211121010000211
43102001103020
5103043234220
65244010504
71235651560
oct322012310
9124533024
1055055560
112909406a
1216530a34
13b538571
147451da0
154c77b5a
hex34814c8

55055560 has 128 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 17664768.

The previous prime is 55055479. The next prime is 55055569. The reversal of 55055560 is 6555055.

It is a super-2 number, since 2×550555602 = 6062229373827200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55055569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534469 + ... + 534571.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 255055560 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 55055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

55055560 is an abundant number, since it is smaller than the sum of its proper divisors (95902520).

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

55055560 is a wasteful number, since it uses less digits than its factorization.

55055560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 31.

The square root of 55055560 is about 7419.9433960105. The cubic root of 55055560 is about 380.4232587615.

The spelling of 55055560 in words is "fifty-five million, fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 83 92 103 115 140 161 166 184 206 230 280 322 332 412 415 460 515 581 644 664 721 805 824 830 920 1030 1162 1288 1442 1610 1660 1909 2060 2324 2369 2884 2905 3220 3320 3605 3818 4120 4648 4738 5768 5810 6440 7210 7636 8549 9476 9545 11620 11845 13363 14420 15272 16583 17098 18952 19090 23240 23690 26726 28840 33166 34196 38180 42745 47380 53452 59843 66332 66815 68392 76360 82915 85490 94760 106904 119686 132664 133630 165830 170980 196627 239372 267260 299215 331660 341960 393254 478744 534520 598430 663320 786508 983135 1196860 1376389 1573016 1966270 2393720 2752778 3932540 5505556 6881945 7865080 11011112 13763890 27527780 55055560