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426512660 = 225721725601
BaseRepresentation
bin11001011011000…
…001000100010100
31002201120002101012
4121123001010110
51333141401120
6110153351352
713366204100
oct3133010424
91081502335
10426512660
111a9834302
12baa08558
136a495172
1440906900
152769e1c5
hex196c1114

426512660 has 72 divisors (see below), whose sum is σ = 1103241384. Its totient is φ = 137625600.

The previous prime is 426512659. The next prime is 426512707. The reversal of 426512660 is 66215624.

It can be written as a sum of positive squares in 4 ways, for example, as 243235216 + 183277444 = 15596^2 + 13538^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3860 + ... + 29460.

It is an arithmetic number, because the mean of its divisors is an integer number (15322797).

Almost surely, 2426512660 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 426512660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551620692).

426512660 is an abundant number, since it is smaller than the sum of its proper divisors (676728724).

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

426512660 is a wasteful number, since it uses less digits than its factorization.

426512660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25641 (or 25632 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 426512660 is about 20652.1829354671. The cubic root of 426512660 is about 752.7382335657.

The spelling of 426512660 in words is "four hundred twenty-six million, five hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 25601 51202 102404 128005 179207 256010 358414 435217 512020 716828 870434 896035 1254449 1740868 1792070 2176085 2508898 3046519 3584140 4352170 5017796 6093038 6272245 8704340 12186076 12544490 15232595 21325633 25088980 30465190 42651266 60930380 85302532 106628165 213256330 426512660