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268490792 = 2317531932
BaseRepresentation
bin10000000000001…
…101100000101000
3200201012202010102
4100000031200220
51022213201132
642350404532
76440063663
oct2000154050
9621182112
10268490792
11128613119
1275b00748
1343817bbb
14279306da
1518887c62
hex1000d828

268490792 has 48 divisors (see below), whose sum is σ = 545918940. Its totient is φ = 123322368.

The previous prime is 268490779. The next prime is 268490797. The reversal of 268490792 is 297094862.

It can be written as a sum of positive squares in 6 ways, for example, as 131928196 + 136562596 = 11486^2 + 11686^2 .

It is a super-3 number, since 3×2684907923 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (268490797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1391048 + ... + 1391240.

Almost surely, 2268490792 is an apocalyptic number.

It is an amenable number.

268490792 is an abundant number, since it is smaller than the sum of its proper divisors (277428148).

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

268490792 is a wasteful number, since it uses less digits than its factorization.

268490792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 268490792 is about 16385.6886336827. The cubic root of 268490792 is about 645.1239006415.

The spelling of 268490792 in words is "two hundred sixty-eight million, four hundred ninety thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 17 34 53 68 106 136 193 212 386 424 772 901 1544 1802 3281 3604 6562 7208 10229 13124 20458 26248 37249 40916 74498 81832 148996 173893 297992 347786 633233 695572 1266466 1391144 1974197 2532932 3948394 5065864 7896788 15793576 33561349 67122698 134245396 268490792