Search a number
-
+
830851056 = 243272117751
BaseRepresentation
bin110001100001011…
…100011111110000
32010220101121101100
4301201130133300
53200144213211
6214240004400
726406055200
oct6141343760
92126347340
10830851056
11396aa2772
121b2300700
13103195359
147c4ba400
154ce1d156
hex3185c7f0

830851056 has 90 divisors (see below), whose sum is σ = 2704881192. Its totient is φ = 237384000.

The previous prime is 830851027. The next prime is 830851067. The reversal of 830851056 is 650158038.

830851056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 830851056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51820 + ... + 65931.

Almost surely, 2830851056 is an apocalyptic number.

It is an amenable number.

830851056 is an abundant number, since it is smaller than the sum of its proper divisors (1874030136).

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

830851056 is a wasteful number, since it uses less digits than its factorization.

830851056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117779 (or 117763 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 830851056 is about 28824.4870899727. The cubic root of 830851056 is about 940.1007346398.

The spelling of 830851056 in words is "eight hundred thirty million, eight hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 117751 235502 353253 471004 706506 824257 942008 1059759 1413012 1648514 1884016 2119518 2472771 2826024 3297028 4239036 4945542 5652048 5769799 6594056 7418313 8478072 9891084 11539598 13188112 14836626 16956144 17309397 19782168 23079196 29673252 34618794 39564336 46158392 51928191 59346504 69237588 92316784 103856382 118693008 138475176 207712764 276950352 415425528 830851056