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808830 = 2325111943
BaseRepresentation
bin11000101011101111110
31112002111200
43011131332
5201340310
625200330
76606051
oct3053576
91462450
10808830
11502760
123300a6
132241c9
14170a98
1510e9c0
hexc577e

808830 has 96 divisors (see below), whose sum is σ = 2471040. Its totient is φ = 181440.

The previous prime is 808793. The next prime is 808837. The reversal of 808830 is 38808.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 808794 and 808803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808837) by changing a digit.

808830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 18789 + ... + 18831.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2808830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235520).

808830 is an abundant number, since it is smaller than the sum of its proper divisors (1662210).

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

808830 is a wasteful number, since it uses less digits than its factorization.

808830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 808830 is about 899.3497651081. The cubic root of 808830 is about 93.1720713040.

It can be divided in two parts, 8088 and 30, that added together give a palindrome (8118).

The spelling of 808830 in words is "eight hundred eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 43 45 55 57 66 86 90 95 99 110 114 129 165 171 190 198 209 215 258 285 330 342 387 418 430 473 495 570 627 645 774 817 855 946 990 1045 1254 1290 1419 1634 1710 1881 1935 2090 2365 2451 2838 3135 3762 3870 4085 4257 4730 4902 6270 7095 7353 8170 8514 8987 9405 12255 14190 14706 17974 18810 21285 24510 26961 36765 42570 44935 53922 73530 80883 89870 134805 161766 269610 404415 808830