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493853808 = 243717312789
BaseRepresentation
bin11101011011111…
…001110001110000
31021102021101001210
4131123321301300
52002411310213
6121001000120
715144455010
oct3533716160
91242241053
10493853808
11233849748
12119483040
137b4126b6
1449835c40
152d5520c3
hex1d6f9c70

493853808 has 160 divisors (see below), whose sum is σ = 1594183680. Its totient is φ = 128471040.

The previous prime is 493853803. The next prime is 493853819. The reversal of 493853808 is 808358394.

It is a super-2 number, since 2×4938538082 = 487783167352201728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493853803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175678 + ... + 178466.

It is an arithmetic number, because the mean of its divisors is an integer number (9963648).

Almost surely, 2493853808 is an apocalyptic number.

493853808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493853808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797091840).

493853808 is an abundant number, since it is smaller than the sum of its proper divisors (1100329872).

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

493853808 is a wasteful number, since it uses less digits than its factorization.

493853808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 493853808 is about 22222.8217830230. The cubic root of 493853808 is about 790.4349514258.

The spelling of 493853808 in words is "four hundred ninety-three million, eight hundred fifty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 34 42 48 51 56 62 68 84 93 102 112 119 124 136 168 186 204 217 238 248 272 336 357 372 408 434 476 496 527 651 714 744 816 868 952 1054 1302 1428 1488 1581 1736 1904 2108 2604 2789 2856 3162 3472 3689 4216 5208 5578 5712 6324 7378 8367 8432 10416 11067 11156 12648 14756 16734 19523 22134 22312 25296 29512 33468 39046 44268 44624 47413 58569 59024 66936 78092 86459 88536 94826 117138 133872 142239 156184 172918 177072 189652 234276 259377 284478 312368 331891 345836 379304 468552 518754 568956 605213 663782 691672 758608 937104 995673 1037508 1137912 1210426 1327564 1383344 1469803 1815639 1991346 2075016 2275824 2420852 2655128 2939606 3631278 3982692 4150032 4409409 4841704 5310256 5879212 7262556 7965384 8818818 9683408 10288621 11758424 14525112 15930768 17637636 20577242 23516848 29050224 30865863 35275272 41154484 61731726 70550544 82308968 123463452 164617936 246926904 493853808