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55055100 = 223522379101
BaseRepresentation
bin1101001000000…
…1001011111100
310211121002101210
43102001023330
5103043230400
65244004420
71235650332
oct322011374
9124532353
1055055100
1129093791
1216530710
13b5382a9
147451b52
154c77950
hex34812fc

55055100 has 144 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 13728000.

The previous prime is 55055089. The next prime is 55055107. The reversal of 55055100 is 155055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55055107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545050 + ... + 545150.

It is an arithmetic number, because the mean of its divisors is an integer number (1180480).

Almost surely, 255055100 is an apocalyptic number.

55055100 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 55055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

55055100 is an abundant number, since it is smaller than the sum of its proper divisors (114934020).

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

55055100 is a wasteful number, since it uses less digits than its factorization.

55055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 21.

The square root of 55055100 is about 7419.9123984047. The cubic root of 55055100 is about 380.4221992549.

It can be divided in two parts, 55055 and 100, that added together give a palindrome (55155).

The spelling of 55055100 in words is "fifty-five million, fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 79 92 100 101 115 138 150 158 202 230 237 276 300 303 316 345 395 404 460 474 505 575 606 690 790 948 1010 1150 1185 1212 1380 1515 1580 1725 1817 1975 2020 2300 2323 2370 2525 3030 3450 3634 3950 4646 4740 5050 5451 5925 6060 6900 6969 7268 7575 7900 7979 9085 9292 10100 10902 11615 11850 13938 15150 15958 18170 21804 23230 23700 23937 27255 27876 30300 31916 34845 36340 39895 45425 46460 47874 54510 58075 69690 79790 90850 95748 109020 116150 119685 136275 139380 159580 174225 181700 183517 199475 232300 239370 272550 348450 367034 398950 478740 545100 550551 598425 696900 734068 797900 917585 1101102 1196850 1835170 2202204 2393700 2752755 3670340 4587925 5505510 9175850 11011020 13763775 18351700 27527550 55055100