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494439696 = 24321721092
BaseRepresentation
bin11101011110001…
…000110100010000
31021110101010202100
4131132020310100
52003034032241
6121021320400
715152445102
oct3536106420
91243333670
10494439696
11234109953
12119706100
137b58928a
1449949572
152d61a9b6
hex1d788d10

494439696 has 135 divisors (see below), whose sum is σ = 1483538511. Its totient is φ = 153695232.

The previous prime is 494439667. The next prime is 494439721. The reversal of 494439696 is 696934494.

The square root of 494439696 is 22236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 112784400 + 381655296 = 10620^2 + 19536^2 .

It is a super-2 number, since 2×4944396962 = 488941225961144832, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 26 ways as a sum of consecutive naturals, for example, 4536090 + ... + 4536198.

Almost surely, 2494439696 is an apocalyptic number.

494439696 is the 22236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494439696

494439696 is an abundant number, since it is smaller than the sum of its proper divisors (989098815).

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

494439696 is a wasteful number, since it uses less digits than its factorization.

494439696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 131 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The cubic root of 494439696 is about 790.7474078175.

The spelling of 494439696 in words is "four hundred ninety-four million, four hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 109 136 144 153 204 218 272 289 306 327 408 436 578 612 654 816 867 872 981 1156 1224 1308 1734 1744 1853 1962 2312 2448 2601 2616 3468 3706 3924 4624 5202 5232 5559 6936 7412 7848 10404 11118 11881 13872 14824 15696 16677 20808 22236 23762 29648 31501 33354 35643 41616 44472 47524 63002 66708 71286 88944 94503 95048 106929 126004 133416 142572 189006 190096 201977 213858 252008 266832 283509 285144 378012 403954 427716 504016 567018 570288 605931 756024 807908 855432 1134036 1211862 1512048 1615816 1710864 1817793 2268072 2423724 3231632 3433609 3635586 4536144 4847448 6867218 7271172 9694896 10300827 13734436 14542344 20601654 27468872 29084688 30902481 41203308 54937744 61804962 82406616 123609924 164813232 247219848 494439696