Search a number
-
+
4268791215 = 32513471071451
BaseRepresentation
bin1111111001110000…
…1001010110101111
3102000111111001200100
43332130021112233
532220302304330
61543331002143
7210533061303
oct37634112657
912014431610
104268791215
1118a0692027
129b1739353
13530513280
142c6d21d03
1519eb6c060
hexfe7095af

4268791215 has 96 divisors (see below), whose sum is σ = 8219667456. Its totient is φ = 2036217600.

The previous prime is 4268791211. The next prime is 4268791223. The reversal of 4268791215 is 5121978624.

4268791215 is a `hidden beast` number, since 426 + 8 + 7 + 9 + 1 + 215 = 666.

It is not a de Polignac number, because 4268791215 - 22 = 4268791211 is a prime.

It is a super-3 number, since 3×42687912153 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268791211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2941240 + ... + 2942690.

It is an arithmetic number, because the mean of its divisors is an integer number (85621536).

Almost surely, 24268791215 is an apocalyptic number.

4268791215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4268791215 is a deficient number, since it is larger than the sum of its proper divisors (3950876241).

4268791215 is a wasteful number, since it uses less digits than its factorization.

4268791215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1626 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 4268791215 is about 65335.9871357279. The cubic root of 4268791215 is about 1622.1896944012.

The spelling of 4268791215 in words is "four billion, two hundred sixty-eight million, seven hundred ninety-one thousand, two hundred fifteen".

Divisors: 1 3 5 9 13 15 39 45 47 65 107 117 141 195 235 321 423 535 585 611 705 963 1391 1451 1605 1833 2115 3055 4173 4353 4815 5029 5499 6955 7255 9165 12519 13059 15087 18863 20865 21765 25145 27495 45261 56589 62595 65295 65377 68197 75435 94315 155257 169767 196131 204591 226305 282945 326885 340985 465771 588393 613773 776285 848835 886561 980655 1022955 1397313 2018341 2328855 2659683 2941965 3068865 4432805 6055023 6986565 7297079 7979049 10091705 13298415 18165069 21891237 30275115 36485395 39895245 65673711 90825345 94862027 109456185 284586081 328368555 474310135 853758243 1422930405 4268791215