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55105704 = 23331743349
BaseRepresentation
bin1101001000110…
…1100010101000
310211200122211000
43102031202220
5103101340304
65245035000
71236251013
oct322154250
9124618730
1055105704
1129118805
1216555a60
13b555334
14746637a
154c87939
hex348d8a8

55105704 has 128 divisors (see below), whose sum is σ = 166320000. Its totient is φ = 16837632.

The previous prime is 55105703. The next prime is 55105717. The reversal of 55105704 is 40750155.

It is a super-2 number, since 2×551057042 = 6073277226671232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55105703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157722 + ... + 158070.

It is an arithmetic number, because the mean of its divisors is an integer number (1299375).

Almost surely, 255105704 is an apocalyptic number.

55105704 is a gapful number since it is divisible by the number (54) 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 55105704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160000).

55105704 is an abundant number, since it is smaller than the sum of its proper divisors (111214296).

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

55105704 is a wasteful number, since it uses less digits than its factorization.

55105704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 55105704 is about 7423.3216284895. The cubic root of 55105704 is about 380.5387188254.

Adding to 55105704 its reverse (40750155), we get a palindrome (95855859).

The spelling of 55105704 in words is "fifty-five million, one hundred five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 43 51 54 68 72 86 102 108 129 136 153 172 204 216 258 306 344 349 387 408 459 516 612 698 731 774 918 1032 1047 1161 1224 1396 1462 1548 1836 2094 2193 2322 2792 2924 3096 3141 3672 4188 4386 4644 5848 5933 6282 6579 8376 8772 9288 9423 11866 12564 13158 15007 17544 17799 18846 19737 23732 25128 26316 30014 35598 37692 39474 45021 47464 52632 53397 60028 71196 75384 78948 90042 106794 120056 135063 142392 157896 160191 180084 213588 255119 270126 320382 360168 405189 427176 510238 540252 640764 765357 810378 1020476 1080504 1281528 1530714 1620756 2040952 2296071 3061428 3241512 4592142 6122856 6888213 9184284 13776426 18368568 27552852 55105704