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4480016305 = 53167641673
BaseRepresentation
bin1000010110000011…
…11001111110110001
3102120012221102000211
410023001321332301
533133341010210
62020314144121
7216006340012
oct41301717661
912505842024
104480016305
111999941616
12a50422041
135651ca92b
14306dc7009
151b349238a
hex10b079fb1

4480016305 has 32 divisors (see below), whose sum is σ = 5649435648. Its totient is φ = 3406233600.

The previous prime is 4480016237. The next prime is 4480016311. The reversal of 4480016305 is 5036100844.

It is a happy number.

4480016305 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4480016305 - 215 = 4479983537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

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 31 ways as a sum of consecutive naturals, for example, 6656449 + ... + 6657121.

It is an arithmetic number, because the mean of its divisors is an integer number (176544864).

It is the magic constant of a 2077 × 2077 magic square.

Almost surely, 24480016305 is an apocalyptic number.

It is an amenable number.

4480016305 is a deficient number, since it is larger than the sum of its proper divisors (1169419343).

4480016305 is a wasteful number, since it uses less digits than its factorization.

4480016305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 4480016305 is about 66932.9239238807. The cubic root of 4480016305 is about 1648.5161198483.

The spelling of 4480016305 in words is "four billion, four hundred eighty million, sixteen thousand, three hundred five".

Divisors: 1 5 31 67 155 335 641 673 2077 3205 3365 10385 19871 20863 42947 45091 99355 104315 214735 225455 431393 1331357 1397821 2156965 6656785 6989105 13373183 28903331 66865915 144516655 896003261 4480016305