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422847960 = 233510334211
BaseRepresentation
bin11001001101000…
…010010111011000
31002110122220100120
4121031002113120
51331222113320
6105543033240
713323101613
oct3115022730
91073586316
10422847960
111a7760a27
12b973b820
13697b10c2
144023117a
15271c8440
hex193425d8

422847960 has 64 divisors (see below), whose sum is σ = 1280897280. Its totient is φ = 111661440.

The previous prime is 422847959. The next prime is 422847961. The reversal of 422847960 is 69748224.

It is an interprime number because it is at equal distance from previous prime (422847959) and next prime (422847961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422847961) 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 15 ways as a sum of consecutive naturals, for example, 4746 + ... + 29465.

It is an arithmetic number, because the mean of its divisors is an integer number (20014020).

Almost surely, 2422847960 is an apocalyptic number.

422847960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422847960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640448640).

422847960 is an abundant number, since it is smaller than the sum of its proper divisors (858049320).

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

422847960 is a wasteful number, since it uses less digits than its factorization.

422847960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34328 (or 34324 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 422847960 is about 20563.2672501235. The cubic root of 422847960 is about 750.5761262137.

The spelling of 422847960 in words is "four hundred twenty-two million, eight hundred forty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 34211 68422 102633 136844 171055 205266 273688 342110 410532 513165 684220 821064 1026330 1368440 2052660 3523733 4105320 7047466 10571199 14094932 17618665 21142398 28189864 35237330 42284796 52855995 70474660 84569592 105711990 140949320 211423980 422847960