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831085056 = 293379761
BaseRepresentation
bin110001100010010…
…101101000000000
32010220211111101000
4301202111220000
53200224210211
6214245012000
726411051334
oct6142255000
92126744330
10831085056
1139714255a
121b23b4000
13103247a09
147c53b7c4
154ce67656
hex31895a00

831085056 has 160 divisors (see below), whose sum is σ = 2494483200. Its totient is φ = 273162240.

The previous prime is 831085051. The next prime is 831085111. The reversal of 831085056 is 650580138.

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 831085056.

It is not an unprimeable number, because it can be changed into a prime (831085051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091716 + ... + 1092476.

It is an arithmetic number, because the mean of its divisors is an integer number (15590520).

Almost surely, 2831085056 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 831085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247241600).

831085056 is an abundant number, since it is smaller than the sum of its proper divisors (1663398144).

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

831085056 is an equidigital number, since it uses as much as digits as its factorization.

831085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 845 counting only the distinct ones).

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

The square root of 831085056 is about 28828.5458530256. The cubic root of 831085056 is about 940.1889826764.

The spelling of 831085056 in words is "eight hundred thirty-one million, eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 512 576 632 711 761 768 864 948 1152 1264 1422 1522 1536 1728 1896 2133 2283 2304 2528 2844 3044 3456 3792 4266 4566 4608 5056 5688 6088 6849 6912 7584 8532 9132 10112 11376 12176 13698 13824 15168 17064 18264 20224 20547 22752 24352 27396 30336 34128 36528 40448 41094 45504 48704 54792 60119 60672 68256 73056 82188 91008 97408 109584 120238 121344 136512 146112 164376 180357 182016 194816 219168 240476 273024 292224 328752 360714 364032 389632 438336 480952 541071 546048 584448 657504 721428 876672 961904 1082142 1092096 1168896 1315008 1442856 1623213 1753344 1923808 2164284 2630016 2885712 3246426 3506688 3847616 4328568 5260032 5771424 6492852 7695232 8657136 10520064 11542848 12985704 15390464 17314272 23085696 25971408 30780928 34628544 46171392 51942816 69257088 92342784 103885632 138514176 207771264 277028352 415542528 831085056