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4268027808 = 253311449077
BaseRepresentation
bin1111111001100100…
…1110111110100000
3102000110001021111000
43332121032332200
532220103342213
61543302352000
7210523431522
oct37631167640
912013037430
104268027808
1118a0210510
129b142b600
13530306955
142c6ba3a12
1519ea6ac73
hexfe64efa0

4268027808 has 96 divisors (see below), whose sum is σ = 13580118720. Its totient is φ = 1293338880.

The previous prime is 4268027807. The next prime is 4268027833. The reversal of 4268027808 is 8087208624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42680278082 = 36432122739722569728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4268027807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215035 + ... + 234042.

It is an arithmetic number, because the mean of its divisors is an integer number (141459570).

Almost surely, 24268027808 is an apocalyptic number.

4268027808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4268027808 is an abundant number, since it is smaller than the sum of its proper divisors (9312090912).

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

4268027808 is a wasteful number, since it uses less digits than its factorization.

4268027808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449107 (or 449093 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4268027808 is about 65330.1447113046. The cubic root of 4268027808 is about 1622.0929874932.

The spelling of 4268027808 in words is "four billion, two hundred sixty-eight million, twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 449077 898154 1347231 1796308 2694462 3592616 4041693 4939847 5388924 7185232 8083386 9879694 10777848 12125079 14370464 14819541 16166772 19759388 21555696 24250158 29639082 32333544 39518776 43111392 44458623 48500316 59278164 64667088 79037552 88917246 97000632 118556328 129334176 133375869 158075104 177834492 194001264 237112656 266751738 355668984 388002528 474225312 533503476 711337968 1067006952 1422675936 2134013904 4268027808