Search a number
-
+
800082856 = 231922941233
BaseRepresentation
bin101111101100000…
…100101110101000
32001202111102100101
4233230010232220
53114310122411
6211220315144
725553410036
oct5754045650
92052442311
10800082856
11380698101
121a3b42ab4
13c99b1811
147838b556
154a3918c1
hex2fb04ba8

800082856 has 96 divisors (see below), whose sum is σ = 1685010600. Its totient is φ = 355461120.

The previous prime is 800082839. The next prime is 800082863. The reversal of 800082856 is 658280008.

800082856 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 4 ways, for example, as 371178756 + 428904100 = 19266^2 + 20710^2 .

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, 3433716 + ... + 3433948.

Almost surely, 2800082856 is an apocalyptic number.

It is an amenable number.

800082856 is an abundant number, since it is smaller than the sum of its proper divisors (884927744).

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

800082856 is a wasteful number, since it uses less digits than its factorization.

800082856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 800082856 is about 28285.7359105256. The cubic root of 800082856 is about 928.3498142399.

The spelling of 800082856 in words is "eight hundred million, eighty-two thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 19 29 38 41 58 76 82 116 152 164 232 233 328 361 466 551 722 779 932 1102 1189 1444 1558 1864 2204 2378 2888 3116 4408 4427 4756 6232 6757 8854 9512 9553 10469 13514 14801 17708 19106 20938 22591 27028 29602 35416 38212 41876 45182 54056 59204 76424 83752 84113 90364 118408 128383 168226 180728 181507 256766 277037 336452 363014 429229 513532 554074 672904 726028 858458 1027064 1108148 1452056 1716916 2216296 2439277 3433832 3448633 4878554 5263703 6897266 9757108 10527406 13794532 19514216 21054812 27589064 42109624 100010357 200020714 400041428 800082856