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268535043 = 327417243
BaseRepresentation
bin10000000000011…
…000010100000011
3200201021222211100
4100000120110003
51022221110133
642351345443
76440340000
oct2000302403
9621258740
10268535043
11128643397
1275b22283
134383209a
14279428a7
1518895e13
hex10018503

268535043 has 90 divisors (see below), whose sum is σ = 491866804. Its totient is φ = 141063552.

The previous prime is 268535027. The next prime is 268535053. The reversal of 268535043 is 340535862.

It is a happy number.

268535043 is a `hidden beast` number, since 268 + 5 + 350 + 43 = 666.

It is not a de Polignac number, because 268535043 - 24 = 268535027 is a prime.

It is a super-2 number, since 2×2685350432 = 144222138638023698, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268534989 and 268535007.

It is not an unprimeable number, because it can be changed into a prime (268535053) 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 89 ways as a sum of consecutive naturals, for example, 6244980 + ... + 6245022.

Almost surely, 2268535043 is an apocalyptic number.

268535043 is a deficient number, since it is larger than the sum of its proper divisors (223331761).

268535043 is an equidigital number, since it uses as much as digits as its factorization.

268535043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 268535043 is about 16387.0388722307. The cubic root of 268535043 is about 645.1593404783.

The spelling of 268535043 in words is "two hundred sixty-eight million, five hundred thirty-five thousand, forty-three".

Divisors: 1 3 7 9 17 21 43 49 51 63 119 129 147 153 289 301 343 357 387 441 731 833 867 903 1029 1071 2023 2107 2193 2401 2499 2601 2709 3087 5117 5831 6069 6321 6579 7203 7497 12427 14161 14749 15351 17493 18207 18963 21609 35819 37281 40817 42483 44247 46053 52479 86989 99127 103243 107457 111843 122451 127449 132741 250733 260967 297381 309729 322371 367353 608923 693889 752199 782901 892143 929187 1755131 1826769 2081667 2256597 4262461 5265393 5480307 6245001 12787383 15796179 29837227 38362149 89511681 268535043