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426968200 = 23522134841
BaseRepresentation
bin11001011100110…
…000010010001000
31002202102020021001
4121130300102020
51333300440300
6110211224344
713403112151
oct3134602210
91082366231
10426968200
111aa01558a
12baba80b4
136a5c4609
14409c4928
152773e16a
hex19730488

426968200 has 24 divisors (see below), whose sum is σ = 992701530. Its totient is φ = 170787200.

The previous prime is 426968183. The next prime is 426968203. The reversal of 426968200 is 2869624.

It can be written as a sum of positive squares in 3 ways, for example, as 369177796 + 57790404 = 19214^2 + 7602^2 .

It is a super-2 number, since 2×4269682002 = 364603687622480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426968200.

It is not an unprimeable number, because it can be changed into a prime (426968203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1067221 + ... + 1067620.

Almost surely, 2426968200 is an apocalyptic number.

426968200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426968200 is an abundant number, since it is smaller than the sum of its proper divisors (565733330).

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

426968200 is a wasteful number, since it uses less digits than its factorization.

426968200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134857 (or 2134848 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 426968200 is about 20663.2088505150. The cubic root of 426968200 is about 753.0061274249.

The spelling of 426968200 in words is "four hundred twenty-six million, nine hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2134841 4269682 8539364 10674205 17078728 21348410 42696820 53371025 85393640 106742050 213484100 426968200