Search a number
-
+
794285856 = 253271330307
BaseRepresentation
bin101111010101111…
…101011100100000
32001100120220100200
4233111331130200
53111314121411
6210452145200
725453214130
oct5725753440
92040526320
10794285856
113783987a1
121a2008200
13c8732040
14776bcac0
1549ae8e56
hex2f57d720

794285856 has 144 divisors (see below), whose sum is σ = 2780092224. Its totient is φ = 209475072.

The previous prime is 794285851. The next prime is 794285879. The reversal of 794285856 is 658582497.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (794285851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11055 + ... + 41361.

It is an arithmetic number, because the mean of its divisors is an integer number (19306196).

Almost surely, 2794285856 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 794285856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390046112).

794285856 is an abundant number, since it is smaller than the sum of its proper divisors (1985806368).

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

794285856 is a wasteful number, since it uses less digits than its factorization.

794285856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30343 (or 30332 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 794285856 is about 28183.0774756768. The cubic root of 794285856 is about 926.1022578476.

The spelling of 794285856 in words is "seven hundred ninety-four million, two hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 30307 60614 90921 121228 181842 212149 242456 272763 363684 393991 424298 484912 545526 636447 727368 787982 848596 969824 1091052 1181973 1272894 1454736 1575964 1697192 1909341 2182104 2363946 2545788 2757937 2909472 3151928 3394384 3545919 3818682 4364208 4727892 5091576 5515874 6303856 6788768 7091838 7637364 8273811 8728416 9455784 10183152 11031748 12607712 14183676 15274728 16547622 18911568 20366304 22063496 24821433 28367352 30549456 33095244 37823136 44126992 49642866 56734704 61098912 66190488 88253984 99285732 113469408 132380976 198571464 264761952 397142928 794285856