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55556280 = 23345131319
BaseRepresentation
bin1101001111101…
…1100010111000
310212112112220000
43103323202320
5103210300110
65302433000
71243135443
oct323734270
9125475800
1055556280
11293a628a
1216732760
13b682450
14754265a
154d261c0
hex34fb8b8

55556280 has 160 divisors (see below), whose sum is σ = 201247200. Its totient is φ = 13665024.

The previous prime is 55556279. The next prime is 55556311. The reversal of 55556280 is 8265555.

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

It is a congruent number.

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, 41461 + ... + 42779.

It is an arithmetic number, because the mean of its divisors is an integer number (1257795).

Almost surely, 255556280 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 55556280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100623600).

55556280 is an abundant number, since it is smaller than the sum of its proper divisors (145690920).

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

55556280 is a wasteful number, since it uses less digits than its factorization.

55556280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 55556280 is about 7453.6085220516. The cubic root of 55556280 is about 381.5730727410.

The spelling of 55556280 in words is "fifty-five million, five hundred fifty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1319 1404 1560 1620 1755 2106 2340 2638 2808 3240 3510 3957 4212 4680 5265 5276 6595 7020 7914 8424 10530 10552 11871 13190 14040 15828 17147 19785 21060 23742 26380 31656 34294 35613 39570 42120 47484 51441 52760 59355 68588 71226 79140 85735 94968 102882 106839 118710 137176 142452 154323 158280 171470 178065 205764 213678 237420 257205 284904 308646 342940 356130 411528 427356 462969 474840 514410 534195 617292 685880 712260 771615 854712 925938 1028820 1068390 1234584 1388907 1424520 1543230 1851876 2057640 2136780 2314845 2777814 3086460 3703752 4273560 4629690 5555628 6172920 6944535 9259380 11111256 13889070 18518760 27778140 55556280