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493286105 = 51331253149
BaseRepresentation
bin11101011001101…
…111001011011001
31021101012112022202
4131121233023121
52002240123410
6120540455545
715136601624
oct3531571331
91241175282
10493286105
112334a1174
1211924a5b5
137b274190
1449728dbb
152d48dca5
hex1d66f2d9

493286105 has 48 divisors (see below), whose sum is σ = 675637200. Its totient is φ = 343549440.

The previous prime is 493286071. The next prime is 493286107. The reversal of 493286105 is 501682394.

493286105 = T494 + T495 + ... + T1454.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 64464841 + 428821264 = 8029^2 + 20708^2 .

It is not a de Polignac number, because 493286105 - 228 = 224850649 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493286107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3310571 + ... + 3310719.

It is an arithmetic number, because the mean of its divisors is an integer number (14075775).

Almost surely, 2493286105 is an apocalyptic number.

It is an amenable number.

493286105 is a deficient number, since it is larger than the sum of its proper divisors (182351095).

493286105 is a wasteful number, since it uses less digits than its factorization.

493286105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 493286105 is about 22210.0451372797. The cubic root of 493286105 is about 790.1319573410.

The spelling of 493286105 in words is "four hundred ninety-three million, two hundred eighty-six thousand, one hundred five".

Divisors: 1 5 13 31 53 65 149 155 265 403 689 745 961 1643 1937 2015 3445 4619 4805 7897 8215 9685 12493 21359 23095 39485 50933 60047 62465 102661 106795 143189 244807 254665 300235 513305 662129 715945 1224035 1861457 3182491 3310645 7589017 9307285 15912455 37945085 98657221 493286105