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804966912 = 2932732393
BaseRepresentation
bin101111111110101…
…101001000000000
32002002200120000100
4233332231020000
53122032420122
6211513122400
725643051211
oct5776551000
92062616010
10804966912
11383423612
121a56b9400
13caa018a9
1478c9d408
154aa08aac
hex2ffad200

804966912 has 120 divisors (see below), whose sum is σ = 2355997644. Its totient is φ = 264536064.

The previous prime is 804966889. The next prime is 804966959. The reversal of 804966912 is 219669408.

It is a happy number.

804966912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 740710656 + 64256256 = 27216^2 + 8016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335188 + ... + 337580.

Almost surely, 2804966912 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 804966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177998822).

804966912 is an abundant number, since it is smaller than the sum of its proper divisors (1551030732).

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

804966912 is a wasteful number, since it uses less digits than its factorization.

804966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 804966912 is about 28371.9388128482. The cubic root of 804966912 is about 930.2350013133.

The spelling of 804966912 in words is "eight hundred four million, nine hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1152 1168 1314 1536 1752 2304 2336 2393 2628 3504 4608 4672 4786 5256 7008 7179 9344 9572 10512 14016 14358 18688 19144 21024 21537 28032 28716 37376 38288 42048 43074 56064 57432 76576 84096 86148 112128 114864 153152 168192 172296 174689 229728 306304 336384 344592 349378 459456 524067 612608 689184 698756 918912 1048134 1225216 1378368 1397512 1572201 1837824 2096268 2756736 2795024 3144402 3675648 4192536 5513472 5590048 6288804 8385072 11026944 11180096 12577608 16770144 22360192 25155216 33540288 44720384 50310432 67080576 89440768 100620864 134161152 201241728 268322304 402483456 804966912