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863802468 = 223429149617
BaseRepresentation
bin110011011111001…
…001010001100100
32020012101201020000
4303133021101210
53232113134333
6221414141300
730256125354
oct6337112144
92205351200
10863802468
11403659641
12201351830
13109c61829
1482a16b64
1550c7b713
hex337c9464

863802468 has 120 divisors (see below), whose sum is σ = 2355507000. Its totient is φ = 275692032.

The previous prime is 863802463. The next prime is 863802509. The reversal of 863802468 is 864208368.

It is a happy number.

863802468 is a `hidden beast` number, since 8 + 638 + 0 + 2 + 4 + 6 + 8 = 666.

863802468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 851355684 = 3528^2 + 29178^2 .

It is not an unprimeable number, because it can be changed into a prime (863802461) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1399696 + ... + 1400312.

It is an arithmetic number, because the mean of its divisors is an integer number (19629225).

Almost surely, 2863802468 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 863802468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177753500).

863802468 is an abundant number, since it is smaller than the sum of its proper divisors (1491704532).

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

863802468 is a wasteful number, since it uses less digits than its factorization.

863802468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 863802468 is about 29390.5166337715. The cubic root of 863802468 is about 952.3680417356.

The spelling of 863802468 in words is "eight hundred sixty-three million, eight hundred two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 149 162 174 261 298 324 348 447 522 596 617 783 894 1044 1234 1341 1566 1788 1851 2349 2468 2682 3132 3702 4023 4321 4698 5364 5553 7404 8046 8642 9396 11106 12069 12963 16092 16659 17284 17893 22212 24138 25926 33318 35786 38889 48276 49977 51852 53679 66636 71572 77778 91933 99954 107358 116667 155556 161037 183866 199908 214716 233334 275799 322074 350001 367732 466668 483111 551598 644148 700002 827397 966222 1103196 1400004 1449333 1654794 1932444 2482191 2666057 2898666 3309588 4964382 5332114 5797332 7446573 7998171 9928764 10664228 14893146 15996342 23994513 29786292 31992684 47989026 71983539 95978052 143967078 215950617 287934156 431901234 863802468