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426883328 = 2817472087
BaseRepresentation
bin11001011100011…
…011100100000000
31002202020220211122
4121130123210000
51333240231303
6110205331412
713402306544
oct3134334400
91082226748
10426883328
111a9a67843
12bab66b68
136a594ab1
14409a1a24
1527723e38
hex1971b900

426883328 has 72 divisors (see below), whose sum is σ = 921860352. Its totient is φ = 196517888.

The previous prime is 426883313. The next prime is 426883333. The reversal of 426883328 is 823388624.

It is a super-3 number, since 3×4268833283 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203501 + ... + 205587.

It is an arithmetic number, because the mean of its divisors is an integer number (12803616).

Almost surely, 2426883328 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 426883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460930176).

426883328 is an abundant number, since it is smaller than the sum of its proper divisors (494977024).

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

426883328 is a wasteful number, since it uses less digits than its factorization.

426883328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2153 counting only the distinct ones).

The product of its digits is 442368, while the sum is 44.

The square root of 426883328 is about 20661.1550499966. The cubic root of 426883328 is about 752.9562303669.

The spelling of 426883328 in words is "four hundred twenty-six million, eight hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 256 272 376 544 752 799 1088 1504 1598 2087 2176 3008 3196 4174 4352 6016 6392 8348 12032 12784 16696 25568 33392 35479 51136 66784 70958 98089 102272 133568 141916 196178 204544 267136 283832 392356 534272 567664 784712 1135328 1569424 1667513 2270656 3138848 3335026 4541312 6277696 6670052 9082624 12555392 13340104 25110784 26680208 53360416 106720832 213441664 426883328