Search a number
-
+
809689344 = 2837091487
BaseRepresentation
bin110000010000101…
…110000100000000
32002102120110222020
4300100232010000
53124240024334
6212202241440
726031150222
oct6020560400
92072513866
10809689344
11386059652
121a71b6280
13cb996229
147976c412
154b13ce49
hex3042e100

809689344 has 72 divisors (see below), whose sum is σ = 2159445120. Its totient is φ = 269334528.

The previous prime is 809689327. The next prime is 809689357. The reversal of 809689344 is 443986908.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543769 + ... + 545255.

Almost surely, 2809689344 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 809689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079722560).

809689344 is an abundant number, since it is smaller than the sum of its proper divisors (1349755776).

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

809689344 is a wasteful number, since it uses less digits than its factorization.

809689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 809689344 is about 28455.0407485212. The cubic root of 809689344 is about 932.0505661255.

The spelling of 809689344 in words is "eight hundred nine million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 709 768 1418 1487 2127 2836 2974 4254 4461 5672 5948 8508 8922 11344 11896 17016 17844 22688 23792 34032 35688 45376 47584 68064 71376 90752 95168 136128 142752 181504 190336 272256 285504 380672 544512 571008 1054283 1142016 2108566 3162849 4217132 6325698 8434264 12651396 16868528 25302792 33737056 50605584 67474112 101211168 134948224 202422336 269896448 404844672 809689344