Search a number
-
+
809204604 = 2231319214369
BaseRepresentation
bin110000001110110…
…111101101111100
32002101122212000220
4300032313231330
53124124021404
6212144021340
726024061045
oct6016675574
92071585026
10809204604
1138585843a
121a7001850
13cb8566c0
14796838cc
154b0944d9
hex303b7b7c

809204604 has 72 divisors (see below), whose sum is σ = 2146188240. Its totient is φ = 235865088.

The previous prime is 809204597. The next prime is 809204633. The reversal of 809204604 is 406402908.

It is a super-2 number, since 2×8092046042 = 1309624182269593632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49132 + ... + 63500.

It is an arithmetic number, because the mean of its divisors is an integer number (29808170).

Almost surely, 2809204604 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 809204604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073094120).

809204604 is an abundant number, since it is smaller than the sum of its proper divisors (1336983636).

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

809204604 is a wasteful number, since it uses less digits than its factorization.

809204604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14427 (or 14406 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 809204604 is about 28446.5218260511. The cubic root of 809204604 is about 931.8645308329.

The spelling of 809204604 in words is "eight hundred nine million, two hundred four thousand, six hundred four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2166 2964 4332 4693 9386 14079 14369 18772 28158 28738 43107 56316 57476 86214 172428 186797 273011 373594 546022 560391 747188 819033 1092044 1120782 1638066 2241564 3276132 3549143 5187209 7098286 10374418 10647429 14196572 15561627 20748836 21294858 31123254 42589716 62246508 67433717 134867434 202301151 269734868 404602302 809204604