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426845958 = 237211891483
BaseRepresentation
bin11001011100010…
…010011100000110
31002202012000120120
4121130102130012
51333233032313
6110204442410
713402062600
oct3134223406
91082160516
10426845958
111a9a41760
12bab49406
136a580a96
1440992170
1527717d23
hex19712706

426845958 has 96 divisors (see below), whose sum is σ = 1096260480. Its totient is φ = 109549440.

The previous prime is 426845953. The next prime is 426845959. The reversal of 426845958 is 859548624.

It is a happy number.

It is a super-3 number, since 3×4268459583 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426845958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426845953) 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 47 ways as a sum of consecutive naturals, for example, 287085 + ... + 288567.

It is an arithmetic number, because the mean of its divisors is an integer number (11419380).

Almost surely, 2426845958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426845958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548130240).

426845958 is an abundant number, since it is smaller than the sum of its proper divisors (669414522).

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

426845958 is a wasteful number, since it uses less digits than its factorization.

426845958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1595 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The square root of 426845958 is about 20660.2506761172. The cubic root of 426845958 is about 752.9342580905.

The spelling of 426845958 in words is "four hundred twenty-six million, eight hundred forty-five thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 89 98 147 154 178 231 267 294 462 534 539 623 979 1078 1246 1483 1617 1869 1958 2937 2966 3234 3738 4361 4449 5874 6853 8722 8898 10381 13083 13706 16313 20559 20762 26166 31143 32626 41118 47971 48939 62286 72667 95942 97878 114191 131987 143913 145334 218001 228382 263974 287826 342573 395961 436002 685146 791922 799337 923909 1451857 1598674 1847818 2398011 2771727 2903714 4355571 4796022 5543454 6467363 8711142 10162999 12934726 19402089 20325998 30488997 38804178 60977994 71140993 142281986 213422979 426845958