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4445421200 = 2452111995077
BaseRepresentation
bin1000010001111011…
…11011111010010000
3102110210211210110122
410020331323322100
533101011434300
62013040445412
7215106312443
oct41075737220
912423753418
104445421200
111981362820
12a40919868
1355aca725c
1430257d65a
151b040bc85
hex108f7be90

4445421200 has 120 divisors (see below), whose sum is σ = 11711899200. Its totient is φ = 1608076800.

The previous prime is 4445421199. The next prime is 4445421247. The reversal of 4445421200 is 21245444.

It is a self number, because there is not a number n which added to its sum of digits gives 4445421200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 873062 + ... + 878138.

It is an arithmetic number, because the mean of its divisors is an integer number (97599160).

Almost surely, 24445421200 is an apocalyptic number.

4445421200 is a gapful number since it is divisible by the number (40) 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 4445421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855949600).

4445421200 is an abundant number, since it is smaller than the sum of its proper divisors (7266478000).

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

4445421200 is a wasteful number, since it uses less digits than its factorization.

4445421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 4445421200 is about 66673.9919308871. The cubic root of 4445421200 is about 1644.2618183819.

Adding to 4445421200 its reverse (21245444), we get a palindrome (4466666644).

The spelling of 4445421200 in words is "four billion, four hundred forty-five million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 199 200 220 275 398 400 440 550 796 880 995 1100 1592 1990 2189 2200 3184 3980 4378 4400 4975 5077 7960 8756 9950 10154 10945 15920 17512 19900 20308 21890 25385 35024 39800 40616 43780 50770 54725 55847 79600 81232 87560 101540 109450 111694 126925 175120 203080 218900 223388 253850 279235 406160 437800 446776 507700 558470 875600 893552 1010323 1015400 1116940 1396175 2020646 2030800 2233880 2792350 4041292 4467760 5051615 5584700 8082584 10103230 11113553 11169400 16165168 20206460 22227106 22338800 25258075 40412920 44454212 50516150 55567765 80825840 88908424 101032300 111135530 177816848 202064600 222271060 277838825 404129200 444542120 555677650 889084240 1111355300 2222710600 4445421200