Search a number
-
+
643814886 = 2311131973541
BaseRepresentation
bin100110010111111…
…101010111100110
31122212110011222210
4212113331113212
52304304034021
6143515104250
721645223221
oct4627752746
91585404883
10643814886
11300464720
1215b742086
13a34c9970
14617105b8
153b7c4e76
hex265fd5e6

643814886 has 128 divisors (see below), whose sum is σ = 1617154560. Its totient is φ = 167961600.

The previous prime is 643814881. The next prime is 643814909. The reversal of 643814886 is 688418346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643814881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1189776 + ... + 1190316.

It is an arithmetic number, because the mean of its divisors is an integer number (12634020).

Almost surely, 2643814886 is an apocalyptic number.

643814886 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 643814886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808577280).

643814886 is an abundant number, since it is smaller than the sum of its proper divisors (973339674).

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

643814886 is a wasteful number, since it uses less digits than its factorization.

643814886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662.

The product of its digits is 884736, while the sum is 48.

The square root of 643814886 is about 25373.5075620222. The cubic root of 643814886 is about 863.4827606505.

The spelling of 643814886 in words is "six hundred forty-three million, eight hundred fourteen thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 73 78 114 143 146 209 219 247 286 418 429 438 494 541 627 741 803 858 949 1082 1254 1387 1482 1606 1623 1898 2409 2717 2774 2847 3246 4161 4818 5434 5694 5951 7033 8151 8322 10279 10439 11902 14066 15257 16302 17853 18031 20558 20878 21099 30514 30837 31317 35706 36062 39493 42198 45771 54093 61674 62634 77363 78986 91542 108186 113069 118479 133627 154726 198341 226138 232089 236958 267254 339207 396682 400881 434423 464178 513409 595023 678414 750367 801762 868846 1026818 1190046 1303269 1469897 1500734 1540227 2251101 2606538 2939794 3080454 4409691 4502202 5647499 8254037 8819382 9754771 11294998 16508074 16942497 19509542 24762111 29264313 33884994 49524222 58528626 107302481 214604962 321907443 643814886