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831105704 = 2311131634457
BaseRepresentation
bin110001100010011…
…010101010101000
32010220212112200202
4301202122222220
53200230340304
6214245251332
726411165462
oct6142325250
92126775622
10831105704
11397157020
121b2403b48
13103254230
147c545132
154ce6d81e
hex3189aaa8

831105704 has 64 divisors (see below), whose sum is σ = 1842402240. Its totient is φ = 346498560.

The previous prime is 831105697. The next prime is 831105731. The reversal of 831105704 is 407501138.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184244 + ... + 188700.

It is an arithmetic number, because the mean of its divisors is an integer number (28787535).

Almost surely, 2831105704 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 831105704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921201120).

831105704 is an abundant number, since it is smaller than the sum of its proper divisors (1011296536).

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

831105704 is a wasteful number, since it uses less digits than its factorization.

831105704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 831105704 is about 28828.9039680665. The cubic root of 831105704 is about 940.1967688274.

The spelling of 831105704 in words is "eight hundred thirty-one million, one hundred five thousand, seven hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 163 286 326 572 652 1144 1304 1793 2119 3586 4238 4457 7172 8476 8914 14344 16952 17828 23309 35656 46618 49027 57941 93236 98054 115882 186472 196108 231764 392216 463528 637351 726491 1274702 1452982 2549404 2905964 5098808 5811928 7991401 9444383 15982802 18888766 31965604 37777532 63931208 75555064 103888213 207776426 415552852 831105704