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4227952968 = 2332792972
BaseRepresentation
bin1111110000000001…
…0111000101001000
3101220122122021010200
43330000113011020
532124323443333
61535311412200
7206526002331
oct37400270510
911818567120
104227952968
11187a629708
1299bb24060
13524c15025
142c1731288
1519b2a1c13
hexfc017148

4227952968 has 108 divisors (see below), whose sum is σ = 11718280665. Its totient is φ = 1377133056.

The previous prime is 4227952957. The next prime is 4227952973. The reversal of 4227952968 is 8692597224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4227952968 is a `hidden beast` number, since 42 + 2 + 79 + 529 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4216943844 + 11009124 = 64938^2 + 3318^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45978.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43587096 + ... + 43587192.

Almost surely, 24227952968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4227952968

4227952968 is an abundant number, since it is smaller than the sum of its proper divisors (7490327697).

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

4227952968 is an equidigital number, since it uses as much as digits as its factorization.

4227952968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 181 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 4227952968 is about 65022.7111707902. The cubic root of 4227952968 is about 1617.0001089996. Note that the first 3 decimals are identical.

The spelling of 4227952968 in words is "four billion, two hundred twenty-seven million, nine hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 97 158 194 237 291 316 388 474 582 632 711 776 873 948 1164 1422 1746 1896 2328 2844 3492 5688 6241 6984 7663 9409 12482 15326 18723 18818 22989 24964 28227 30652 37446 37636 45978 49928 56169 56454 61304 68967 74892 75272 84681 91956 112338 112908 137934 149784 169362 183912 224676 225816 275868 338724 449352 551736 605377 677448 743311 1210754 1486622 1816131 2229933 2421508 2973244 3632262 4459866 4843016 5448393 5946488 6689799 7264524 8919732 10896786 13379598 14529048 17839464 21793572 26759196 43587144 53518392 58721569 117443138 176164707 234886276 352329414 469772552 528494121 704658828 1056988242 1409317656 2113976484 4227952968