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810813942 = 23319241593
BaseRepresentation
bin110000010101000…
…000100111110110
32002111200121122000
4300111000213312
53130032021232
6212242320130
726043543021
oct6025004766
92074617560
10810813942
11386757574
121a7659046
13cbc9b083
14799821b8
154b2b127c
hex305409f6

810813942 has 48 divisors (see below), whose sum is σ = 1901677680. Its totient is φ = 256040352.

The previous prime is 810813911. The next prime is 810814001. The reversal of 810813942 is 249318018.

It is a junction number, because it is equal to n+sod(n) for n = 810813897 and 810813906.

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 23 ways as a sum of consecutive naturals, for example, 1303 + ... + 40290.

It is an arithmetic number, because the mean of its divisors is an integer number (39618285).

Almost surely, 2810813942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810813942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950838840).

810813942 is an abundant number, since it is smaller than the sum of its proper divisors (1090863738).

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

810813942 is a wasteful number, since it uses less digits than its factorization.

810813942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41642 (or 41617 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 810813942 is about 28474.7948543971. The cubic root of 810813942 is about 932.4818826966.

The spelling of 810813942 in words is "eight hundred ten million, eight hundred thirteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 2166 3249 6498 9747 19494 41593 83186 124779 249558 374337 748674 790267 1123011 1580534 2246022 2370801 4741602 7112403 14224806 15015073 21337209 30030146 42674418 45045219 90090438 135135657 270271314 405406971 810813942