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422847936 = 263271731199
BaseRepresentation
bin11001001101000…
…010010111000000
31002110122220022200
4121031002113000
51331222113221
6105543033200
713323101550
oct3115022700
91073586280
10422847936
111a7760a05
12b973b800
13697b10a4
1440231160
15271c8426
hex193425c0

422847936 has 336 divisors, whose sum is σ = 1521561600. Its totient is φ = 109486080.

The previous prime is 422847923. The next prime is 422847947. The reversal of 422847936 is 639748224.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422847891 and 422847900.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2124765 + ... + 2124963.

Almost surely, 2422847936 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 422847936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760780800).

422847936 is an abundant number, since it is smaller than the sum of its proper divisors (1098713664).

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

422847936 is a wasteful number, since it uses less digits than its factorization.

422847936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 422847936 is about 20563.2666665586. The cubic root of 422847936 is about 750.5761120133.

The spelling of 422847936 in words is "four hundred twenty-two million, eight hundred forty-seven thousand, nine hundred thirty-six".