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3259042048 = 2843329401
BaseRepresentation
bin1100001001000001…
…0000100100000000
322102010110111020001
43002100100210000
523133303321143
61255220325344
7143522254213
oct30220204400
98363414201
103259042048
11142270a589
1276b543854
133cc271762
1422cb9777a
151411b214d
hexc2410900

3259042048 has 36 divisors (see below), whose sum is σ = 6520599148. Its totient is φ = 1625702400.

The previous prime is 3259042021. The next prime is 3259042057. The reversal of 3259042048 is 8402409523.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 363741184 + 2895300864 = 19072^2 + 53808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3259041998 and 3259042016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96148 + ... + 125548.

Almost surely, 23259042048 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 3259042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260299574).

3259042048 is an abundant number, since it is smaller than the sum of its proper divisors (3261557100).

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

3259042048 is an equidigital number, since it uses as much as digits as its factorization.

3259042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29850 (or 29836 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 3259042048 is about 57088.0201793686. The cubic root of 3259042048 is about 1482.6204561505.

The spelling of 3259042048 in words is "three billion, two hundred fifty-nine million, forty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 433 866 1732 3464 6928 13856 27712 29401 55424 58802 110848 117604 235208 470416 940832 1881664 3763328 7526656 12730633 25461266 50922532 101845064 203690128 407380256 814760512 1629521024 3259042048