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426575268 = 223372919457
BaseRepresentation
bin11001011011010…
…000010110100100
31002201200021021000
4121123100112210
51333200402033
6110154553300
713366554450
oct3133202644
91081607230
10426575268
111a9877349
12baa38830
136a4b7802
1440921660
15276b2a13
hex196d05a4

426575268 has 96 divisors (see below), whose sum is σ = 1307577600. Its totient is φ = 117669888.

The previous prime is 426575267. The next prime is 426575299. The reversal of 426575268 is 862575624.

It is not an unprimeable number, because it can be changed into a prime (426575267) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12196 + ... + 31652.

It is an arithmetic number, because the mean of its divisors is an integer number (13620600).

Almost surely, 2426575268 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 426575268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653788800).

426575268 is an abundant number, since it is smaller than the sum of its proper divisors (881002332).

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

426575268 is a wasteful number, since it uses less digits than its factorization.

426575268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19506 (or 19498 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 426575268 is about 20653.6986518154. The cubic root of 426575268 is about 752.7750633670.

The spelling of 426575268 in words is "four hundred twenty-six million, five hundred seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3654 5481 7308 10962 19457 21924 38914 58371 77828 116742 136199 175113 233484 272398 350226 408597 525339 544796 564253 700452 817194 1050678 1128506 1225791 1634388 1692759 2101356 2257012 2451582 3385518 3677373 3949771 4903164 5078277 6771036 7354746 7899542 10156554 11849313 14709492 15234831 15799084 20313108 23698626 30469662 35547939 47397252 60939324 71095878 106643817 142191756 213287634 426575268