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55318500 = 22325319647
BaseRepresentation
bin1101001100000…
…1011111100100
310212002110201100
43103001133210
5103130143000
65253400100
71241125266
oct323013744
9125073640
1055318500
1129253676
1216639030
13b5cb153
1474bdb36
154ccaa00
hex34c17e4

55318500 has 144 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 13953600.

The previous prime is 55318489. The next prime is 55318507. The reversal of 55318500 is 581355.

55318500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55318507) 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 47 ways as a sum of consecutive naturals, for example, 85177 + ... + 85823.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 255318500 is an apocalyptic number.

55318500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55318500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

55318500 is an abundant number, since it is smaller than the sum of its proper divisors (128661660).

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

55318500 is a wasteful number, since it uses less digits than its factorization.

55318500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55318500 is about 7437.6407549706. The cubic root of 55318500 is about 381.0279186767.

Adding to 55318500 its reverse (581355), we get a palindrome (55899855).

The spelling of 55318500 in words is "fifty-five million, three hundred eighteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 125 150 171 180 190 225 228 250 285 300 342 375 380 450 475 500 570 647 684 750 855 900 950 1125 1140 1294 1425 1500 1710 1900 1941 2250 2375 2588 2850 3235 3420 3882 4275 4500 4750 5700 5823 6470 7125 7764 8550 9500 9705 11646 12293 12940 14250 16175 17100 19410 21375 23292 24586 28500 29115 32350 36879 38820 42750 48525 49172 58230 61465 64700 73758 80875 85500 97050 110637 116460 122930 145575 147516 161750 184395 194100 221274 242625 245860 291150 307325 323500 368790 442548 485250 553185 582300 614650 727875 737580 921975 970500 1106370 1229300 1455750 1536625 1843950 2212740 2765925 2911500 3073250 3687900 4609875 5531850 6146500 9219750 11063700 13829625 18439500 27659250 55318500