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4218519808 = 28171994871
BaseRepresentation
bin1111101101110001…
…1000000100000000
3101212222220000021101
43323130120010000
532114420113213
61534333304144
7206352553366
oct37334300400
911788800241
104218519808
111875276408
12998935054
13522c91489
142c0397636
1519a53bbdd
hexfb718100

4218519808 has 72 divisors (see below), whose sum is σ = 8962531200. Its totient is φ = 1974804480.

The previous prime is 4218519803. The next prime is 4218519817. The reversal of 4218519808 is 8089158124.

It is a happy number.

It is a super-3 number, since 3×42185198083 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4218519803) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 863613 + ... + 868483.

It is an arithmetic number, because the mean of its divisors is an integer number (124479600).

Almost surely, 24218519808 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 4218519808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481265600).

4218519808 is an abundant number, since it is smaller than the sum of its proper divisors (4744011392).

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

4218519808 is a wasteful number, since it uses less digits than its factorization.

4218519808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 46.

The square root of 4218519808 is about 64950.1332408179. The cubic root of 4218519808 is about 1615.7966283298.

The spelling of 4218519808 in words is "four billion, two hundred eighteen million, five hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 199 256 272 398 544 796 1088 1592 2176 3184 3383 4352 4871 6368 6766 9742 12736 13532 19484 25472 27064 38968 50944 54128 77936 82807 108256 155872 165614 216512 311744 331228 433024 623488 662456 866048 969329 1246976 1324912 1938658 2649824 3877316 5299648 7754632 10599296 15509264 16478593 21198592 31018528 32957186 62037056 65914372 124074112 131828744 248148224 263657488 527314976 1054629952 2109259904 4218519808