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806068944 = 243231533407
BaseRepresentation
bin110000000010111…
…010001011010000
32002011202112201100
4300002322023100
53122323201234
6211552504400
725655321142
oct6002721320
92064675640
10806068944
1138400658a
121a5b4b100
13cacc9395
14790a8c92
154ab75399
hex300ba2d0

806068944 has 120 divisors (see below), whose sum is σ = 2373276672. Its totient is φ = 255041280.

The previous prime is 806068943. The next prime is 806068951. The reversal of 806068944 is 449860608.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 806068944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806068943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234889 + ... + 238295.

Almost surely, 2806068944 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 806068944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186638336).

806068944 is an abundant number, since it is smaller than the sum of its proper divisors (1567207728).

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

806068944 is a wasteful number, since it uses less digits than its factorization.

806068944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 806068944 is about 28391.3533316043. The cubic root of 806068944 is about 930.6593174170.

The spelling of 806068944 in words is "eight hundred six million, sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 53 62 72 93 106 124 144 159 186 212 248 279 318 372 424 477 496 558 636 744 848 954 1116 1272 1488 1643 1908 2232 2544 3286 3407 3816 4464 4929 6572 6814 7632 9858 10221 13144 13628 14787 19716 20442 26288 27256 29574 30663 39432 40884 54512 59148 61326 78864 81768 105617 118296 122652 163536 180571 211234 236592 245304 316851 361142 422468 490608 541713 633702 722284 844936 950553 1083426 1267404 1444568 1625139 1689872 1901106 2166852 2534808 2889136 3250278 3802212 4333704 5069616 5597701 6500556 7604424 8667408 11195402 13001112 15208848 16793103 22390804 26002224 33586206 44781608 50379309 67172412 89563216 100758618 134344824 201517236 268689648 403034472 806068944