Search a number
-
+
553361886 = 2327111572543
BaseRepresentation
bin100000111110111…
…010000111011110
31102120020200210200
4200332322013132
52113130040021
6130524244330
716466332650
oct4076720736
91376220720
10553361886
112643a3a80
121353a06a6
138a84978c
14536c66d0
15338a9126
hex20fba1de

553361886 has 96 divisors (see below), whose sum is σ = 1504908288. Its totient is φ = 142758720.

The previous prime is 553361821. The next prime is 553361929. The reversal of 553361886 is 688163355.

553361886 is a `hidden beast` number, since 553 + 3 + 6 + 18 + 86 = 666.

It is a super-3 number, since 3×5533618863 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216331 + ... + 218873.

It is an arithmetic number, because the mean of its divisors is an integer number (15676128).

Almost surely, 2553361886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553361886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752454144).

553361886 is an abundant number, since it is smaller than the sum of its proper divisors (951546402).

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

553361886 is a wasteful number, since it uses less digits than its factorization.

553361886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2723 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 553361886 is about 23523.6452532340. The cubic root of 553361886 is about 820.9872532976.

The spelling of 553361886 in words is "five hundred fifty-three million, three hundred sixty-one thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 157 198 231 314 462 471 693 942 1099 1386 1413 1727 2198 2543 2826 3297 3454 5086 5181 6594 7629 9891 10362 12089 15258 15543 17801 19782 22887 24178 27973 31086 35602 36267 45774 53403 55946 72534 83919 106806 108801 160209 167838 195811 217602 251757 320418 391622 399251 503514 587433 798502 1174866 1197753 1762299 2395506 2794757 3524598 3593259 4391761 5589514 7186518 8384271 8783522 13175283 16768542 25152813 26350566 30742327 39525849 50305626 61484654 79051698 92226981 184453962 276680943 553361886