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4212065256 = 2337232394561
BaseRepresentation
bin1111101100001111…
…0000001111101000
3101212112202002021220
43323003300033220
532111242042011
61533543102040
7206243651430
oct37303601750
911775662256
104212065256
111871667a73
12996741920
13521841609
142bd5972c0
15199bb4506
hexfb0f03e8

4212065256 has 128 divisors (see below), whose sum is σ = 12613017600. Its totient is φ = 1146055680.

The previous prime is 4212065251. The next prime is 4212065267. The reversal of 4212065256 is 6525602124.

It is not an unprimeable number, because it can be changed into a prime (4212065251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921216 + ... + 925776.

It is an arithmetic number, because the mean of its divisors is an integer number (98539200).

Almost surely, 24212065256 is an apocalyptic number.

4212065256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212065256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306508800).

4212065256 is an abundant number, since it is smaller than the sum of its proper divisors (8400952344).

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

4212065256 is a wasteful number, since it uses less digits than its factorization.

4212065256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 4212065256 is about 64900.4256996824. The cubic root of 4212065256 is about 1614.9721237285.

The spelling of 4212065256 in words is "four billion, two hundred twelve million, sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 239 276 322 478 483 552 644 717 956 966 1288 1434 1673 1912 1932 2868 3346 3864 4561 5019 5497 5736 6692 9122 10038 10994 13384 13683 16491 18244 20076 21988 27366 31927 32982 36488 38479 40152 43976 54732 63854 65964 76958 95781 104903 109464 115437 127708 131928 153916 191562 209806 230874 255416 307832 314709 383124 419612 461748 629418 734321 766248 839224 923496 1090079 1258836 1468642 2180158 2202963 2517672 2937284 3270237 4360316 4405926 5874568 6540474 7630553 8720632 8811852 13080948 15261106 17623704 22891659 25071817 26161896 30522212 45783318 50143634 61044424 75215451 91566636 100287268 150430902 175502719 183133272 200574536 300861804 351005438 526508157 601723608 702010876 1053016314 1404021752 2106032628 4212065256