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8255104 = 271121341
BaseRepresentation
bin11111011111011010000000
3120112101212121
4133133122000
54103130404
6452534024
7130111234
oct37373200
916471777
108255104
114729200
122921314
1319305a0
14114c5c4
15ad0e54
hex7df680

8255104 has 96 divisors (see below), whose sum is σ = 19942020. Its totient is φ = 3379200.

The previous prime is 8255089. The next prime is 8255123. The reversal of 8255104 is 4015528.

It can be written as a sum of positive squares in 2 ways, for example, as 6512704 + 1742400 = 2552^2 + 1320^2 .

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 11 ways as a sum of consecutive naturals, for example, 201324 + ... + 201364.

Almost surely, 28255104 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 8255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971010).

8255104 is an abundant number, since it is smaller than the sum of its proper divisors (11686916).

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

8255104 is a wasteful number, since it uses less digits than its factorization.

8255104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 8255104 is about 2873.1696782474. The cubic root of 8255104 is about 202.1036621157.

It can be divided in two parts, 825 and 5104, that added together give a square (5929 = 772).

The spelling of 8255104 in words is "eight million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 41 44 52 64 82 88 104 121 128 143 164 176 208 242 286 328 352 416 451 484 533 572 656 704 832 902 968 1066 1144 1312 1408 1573 1664 1804 1936 2132 2288 2624 3146 3608 3872 4264 4576 4961 5248 5863 6292 7216 7744 8528 9152 9922 11726 12584 14432 15488 17056 18304 19844 23452 25168 28864 34112 39688 46904 50336 57728 64493 68224 79376 93808 100672 128986 158752 187616 201344 257972 317504 375232 515944 635008 750464 1031888 2063776 4127552 8255104