Search a number
-
+
808145960 = 235671511997
BaseRepresentation
bin110000001010110…
…101010000101000
32002022200001211212
4300022311100220
53123341132320
6212105212252
726012061446
oct6012652050
92068601755
10808145960
113851a5026
121a6791088
13cb57589b
1479489b96
154ae359c5
hex302b5428

808145960 has 64 divisors (see below), whose sum is σ = 1858619520. Its totient is φ = 316166400.

The previous prime is 808145959. The next prime is 808145993. The reversal of 808145960 is 69541808.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 403682 + ... + 405678.

It is an arithmetic number, because the mean of its divisors is an integer number (29040930).

Almost surely, 2808145960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808145960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929309760).

808145960 is an abundant number, since it is smaller than the sum of its proper divisors (1050473560).

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

808145960 is a wasteful number, since it uses less digits than its factorization.

808145960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 808145960 is about 28427.9081186077. The cubic root of 808145960 is about 931.4579821038.

The spelling of 808145960 in words is "eight hundred eight million, one hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 67 134 151 268 302 335 536 604 670 755 1208 1340 1510 1997 2680 3020 3994 6040 7988 9985 10117 15976 19970 20234 39940 40468 50585 79880 80936 101170 133799 202340 267598 301547 404680 535196 603094 668995 1070392 1206188 1337990 1507735 2412376 2675980 3015470 5351960 6030940 12061880 20203649 40407298 80814596 101018245 161629192 202036490 404072980 808145960