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4444083984 = 24392585083
BaseRepresentation
bin1000010001110001…
…10101011100010000
3102110201022212011010
410020320311130100
533100141141414
62012552050520
7215062043034
oct41070653420
912421285133
104444083984
11198062a08a
12a40393a40
1355a9296c2
143023121c4
151b0245959
hex108e35710

4444083984 has 20 divisors (see below), whose sum is σ = 11480550416. Its totient is φ = 1481361312.

The previous prime is 4444083977. The next prime is 4444084027. The reversal of 4444083984 is 4893804444.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 92585083 = 4444083984 / (4 + 4 + 4 + 4 + 0 + 8 + 3 + 9 + 8 + 4).

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 3 ways as a sum of consecutive naturals, for example, 46292494 + ... + 46292589.

Almost surely, 24444083984 is an apocalyptic number.

It is an amenable number.

4444083984 is an abundant number, since it is smaller than the sum of its proper divisors (7036466432).

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

4444083984 is a wasteful number, since it uses less digits than its factorization.

4444083984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92585094 (or 92585088 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The square root of 4444083984 is about 66663.9631585162. The cubic root of 4444083984 is about 1644.0969330903.

The spelling of 4444083984 in words is "four billion, four hundred forty-four million, eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 92585083 185170166 277755249 370340332 555510498 740680664 1111020996 1481361328 2222041992 4444083984