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806704944 = 243172353811
BaseRepresentation
bin110000000101010…
…101011100110000
32002012221212010220
4300011111130300
53123004024234
6212014253040
725663610313
oct6005253460
92065855126
10806704944
11384400401
121a61b7180
13cb18ca06
14791d297a
154ac4da49
hex30155730

806704944 has 160 divisors (see below), whose sum is σ = 2348849664. Its totient is φ = 237219840.

The previous prime is 806704883. The next prime is 806704973. The reversal of 806704944 is 449407608.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 806704896 and 806704905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994299 + ... + 995109.

Almost surely, 2806704944 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 806704944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174424832).

806704944 is an abundant number, since it is smaller than the sum of its proper divisors (1542144720).

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

806704944 is a wasteful number, since it uses less digits than its factorization.

806704944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 806704944 is about 28402.5517163511. The cubic root of 806704944 is about 930.9040209361.

The spelling of 806704944 in words is "eight hundred six million, seven hundred four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 53 68 69 92 102 106 136 138 159 184 204 212 272 276 318 368 391 408 424 552 636 782 811 816 848 901 1104 1173 1219 1272 1564 1622 1802 2346 2433 2438 2544 2703 3128 3244 3604 3657 4692 4866 4876 5406 6256 6488 7208 7314 9384 9732 9752 10812 12976 13787 14416 14628 18653 18768 19464 19504 20723 21624 27574 29256 37306 38928 41361 41446 42983 43248 55148 55959 58512 62169 74612 82722 82892 85966 110296 111918 124338 128949 149224 165444 165784 171932 220592 223836 248676 257898 298448 317101 330888 331568 343864 447672 497352 515796 634202 661776 687728 730711 895344 951303 988609 994704 1031592 1268404 1461422 1902606 1977218 2063184 2192133 2536808 2922844 2965827 3805212 3954436 4384266 5073616 5845688 5931654 7610424 7908872 8768532 11691376 11863308 15220848 15817744 16806353 17537064 23726616 33612706 35074128 47453232 50419059 67225412 100838118 134450824 201676236 268901648 403352472 806704944