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4217143808 = 2929476043
BaseRepresentation
bin1111101101011100…
…1000001000000000
3101212220022002202102
43323113020020000
532114042100213
61534244005532
7206335062623
oct37327101000
911786262672
104217143808
111874516619
129983908a8
135228cc087
142c0119dba
1519a369158
hexfb5c8200

4217143808 has 80 divisors (see below), whose sum is σ = 8903537280. Its totient is φ = 1992216576.

The previous prime is 4217143787. The next prime is 4217143831. The reversal of 4217143808 is 8083417124.

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 7 ways as a sum of consecutive naturals, for example, 694835 + ... + 700877.

It is an arithmetic number, because the mean of its divisors is an integer number (111294216).

Almost surely, 24217143808 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 4217143808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451768640).

4217143808 is an abundant number, since it is smaller than the sum of its proper divisors (4686393472).

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

4217143808 is an equidigital number, since it uses as much as digits as its factorization.

4217143808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 4217143808 is about 64939.5396349558. The cubic root of 4217143808 is about 1615.6209286340.

The spelling of 4217143808 in words is "four billion, two hundred seventeen million, one hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 256 376 464 512 752 928 1363 1504 1856 2726 3008 3712 5452 6016 6043 7424 10904 12032 12086 14848 21808 24064 24172 43616 48344 87232 96688 174464 175247 193376 284021 348928 350494 386752 568042 697856 700988 773504 1136084 1401976 1547008 2272168 2803952 3094016 4544336 5607904 8236609 9088672 11215808 16473218 18177344 22431616 32946436 36354688 44863232 65892872 72709376 89726464 131785744 145418752 263571488 527142976 1054285952 2108571904 4217143808