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810826104 = 233119731663
BaseRepresentation
bin110000010101000…
…011100101111000
32002111201020022110
4300111003211320
53130032413404
6212242452320
726043623334
oct6025034570
92074636273
10810826104
11386765720
121a76640a0
13cbca377a
14799867c4
154b2b4b89
hex30543978

810826104 has 64 divisors (see below), whose sum is σ = 2234211840. Its totient is φ = 243164160.

The previous prime is 810826099. The next prime is 810826123. The reversal of 810826104 is 401628018.

It is a congruent number.

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, 9777 + ... + 41439.

It is an arithmetic number, because the mean of its divisors is an integer number (34909560).

Almost surely, 2810826104 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 810826104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117105920).

810826104 is an abundant number, since it is smaller than the sum of its proper divisors (1423385736).

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

810826104 is a wasteful number, since it uses less digits than its factorization.

810826104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31780 (or 31776 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 810826104 is about 28475.0084108855. The cubic root of 810826104 is about 932.4865450025.

The spelling of 810826104 in words is "eight hundred ten million, eight hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 2134 2328 3201 4268 6402 8536 12804 25608 31663 63326 94989 126652 189978 253304 348293 379956 696586 759912 1044879 1393172 2089758 2786344 3071311 4179516 6142622 8359032 9213933 12285244 18427866 24570488 33784421 36855732 67568842 73711464 101353263 135137684 202706526 270275368 405413052 810826104