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426891328 = 26311032089
BaseRepresentation
bin11001011100011…
…101100001000000
31002202021022210221
4121130131201000
51333241010303
6110205432424
713402342063
oct3134354100
91082238727
10426891328
111a9a72856
12bab6b714
136a598626
14409a48da
15277264bd
hex1971d840

426891328 has 56 divisors (see below), whose sum is σ = 883351040. Its totient is φ = 204456960.

The previous prime is 426891319. The next prime is 426891329. The reversal of 426891328 is 823198624.

It is a super-3 number, since 3×4268913283 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (426891329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203308 + ... + 205396.

Almost surely, 2426891328 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 426891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441675520).

426891328 is an abundant number, since it is smaller than the sum of its proper divisors (456459712).

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

426891328 is a wasteful number, since it uses less digits than its factorization.

426891328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2225 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 426891328 is about 20661.3486491081. The cubic root of 426891328 is about 752.9609339255.

The spelling of 426891328 in words is "four hundred twenty-six million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 103 124 206 248 412 496 824 992 1648 1984 2089 3193 3296 4178 6386 6592 8356 12772 16712 25544 33424 51088 64759 66848 102176 129518 133696 204352 215167 259036 430334 518072 860668 1036144 1721336 2072288 3442672 4144576 6670177 6885344 13340354 13770688 26680708 53361416 106722832 213445664 426891328