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8478103328 = 254123972
BaseRepresentation
bin1111110010101010…
…11001011100100000
3210212212001021100222
413321111121130200
5114330343301303
63521135102212
7420044455262
oct77125313440
923785037328
108478103328
113660739572
121787371968
13a515cc6b6
145a5d9db32
1534948a938
hex1f9559720

8478103328 has 54 divisors (see below), whose sum is σ = 17151501843. Its totient is φ = 4125242880.

The previous prime is 8478103253. The next prime is 8478103343. The reversal of 8478103328 is 8233018748.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1255143184 + 7222960144 = 35428^2 + 84988^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=65108.

It is a super-3 number, since 3×84781033283 (a number of 31 digits) contains 333 as substring.

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 8 ways as a sum of consecutive naturals, for example, 21355226 + ... + 21355622.

Almost surely, 28478103328 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 8478103328

8478103328 is an abundant number, since it is smaller than the sum of its proper divisors (8673398515).

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

8478103328 is an frugal number, since it uses more digits than its factorization.

8478103328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 8478103328 is about 92076.6166189875. The cubic root of 8478103328 is about 2039.0735996174.

The spelling of 8478103328 in words is "eight billion, four hundred seventy-eight million, one hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 397 656 794 1312 1588 1681 3176 3362 6352 6724 12704 13448 16277 26896 32554 53792 65108 130216 157609 260432 315218 520864 630436 667357 1260872 1334714 2521744 2669428 5043488 5338856 6461969 10677712 12923938 21355424 25847876 51695752 103391504 206783008 264940729 529881458 1059762916 2119525832 4239051664 8478103328