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81281250 = 23256172
BaseRepresentation
bin1001101100001…
…00000011100010
312122221111220200
410312010003202
5131302000000
612022050030
72004610401
oct466040342
9178844820
1081281250
1141976896
1223279916
1313abb61b
14ab1b638
157208500
hex4d840e2

81281250 has 126 divisors (see below), whose sum is σ = 233844663. Its totient is φ = 20400000.

The previous prime is 81281243. The next prime is 81281257. The reversal of 81281250 is 5218218.

It is an interprime number because it is at equal distance from previous prime (81281243) and next prime (81281257).

It can be written as a sum of positive squares in 11 ways, for example, as 51108201 + 30173049 = 7149^2 + 5493^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6375.

It is not an unprimeable number, because it can be changed into a prime (81281257) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4781242 + ... + 4781258.

Almost surely, 281281250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81281250

81281250 is an abundant number, since it is smaller than the sum of its proper divisors (152563413).

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

81281250 is an equidigital number, since it uses as much as digits as its factorization.

81281250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 81281250 is about 9015.6114601285. The cubic root of 81281250 is about 433.1750737008.

Adding to 81281250 its reverse (5218218), we get a palindrome (86499468).

The spelling of 81281250 in words is "eighty-one million, two hundred eighty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 125 150 153 170 225 250 255 289 306 375 425 450 510 578 625 750 765 850 867 1125 1250 1275 1445 1530 1734 1875 2125 2250 2550 2601 2890 3125 3750 3825 4250 4335 5202 5625 6250 6375 7225 7650 8670 9375 10625 11250 12750 13005 14450 15625 18750 19125 21250 21675 26010 28125 31250 31875 36125 38250 43350 46875 53125 56250 63750 65025 72250 93750 95625 106250 108375 130050 140625 159375 180625 191250 216750 265625 281250 318750 325125 361250 478125 531250 541875 650250 796875 903125 956250 1083750 1593750 1625625 1806250 2390625 2709375 3251250 4515625 4781250 5418750 8128125 9031250 13546875 16256250 27093750 40640625 81281250