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426806325 = 325211261257
BaseRepresentation
bin11001011100001…
…000110000110101
31002202010000012200
4121130020300311
51333230300300
6110203535113
713401536211
oct3134106065
91082100180
10426806325
111a9a14a00
12bab2a499
136a568a2a
1440981941
152770b200
hex19708c35

426806325 has 108 divisors (see below), whose sum is σ = 857369604. Its totient is φ = 202752000.

The previous prime is 426806293. The next prime is 426806333. The reversal of 426806325 is 523608624.

It can be written as a sum of positive squares in 6 ways, for example, as 5489649 + 421316676 = 2343^2 + 20526^2 .

It is not a de Polignac number, because 426806325 - 25 = 426806293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 426806325.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 1660597 + ... + 1660853.

Almost surely, 2426806325 is an apocalyptic number.

426806325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426806325 is an abundant number, since it is smaller than the sum of its proper divisors (430563279).

426806325 is a wasteful number, since it uses less digits than its factorization.

426806325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 426806325 is about 20659.2914931757. The cubic root of 426806325 is about 752.9109538465.

The spelling of 426806325 in words is "four hundred twenty-six million, eight hundred six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 61 75 99 121 165 183 225 257 275 305 363 495 549 605 671 771 825 915 1089 1285 1525 1815 2013 2313 2475 2745 2827 3025 3355 3855 4575 5445 6039 6425 7381 8481 9075 10065 11565 13725 14135 15677 16775 19275 22143 25443 27225 30195 31097 36905 42405 47031 50325 57825 66429 70675 78385 93291 110715 127215 141093 150975 155485 172447 184525 212025 235155 279873 332145 391925 466455 517341 553575 636075 705465 777425 862235 1175775 1399365 1552023 1660725 1896917 2332275 2586705 3527325 4311175 5690751 6996825 7760115 9484585 12933525 17072253 28453755 38800575 47422925 85361265 142268775 426806325