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631968256 = 291279719
BaseRepresentation
bin100101101010110…
…001001000000000
31122001011022110201
4211222301020000
52243240441011
6142413134544
721442433023
oct4552611000
91561138421
10631968256
112a4803117
1215778a454
13a0c0c71a
145dd091ba
153a734cc1
hex25ab1200

631968256 has 40 divisors (see below), whose sum is σ = 1272775680. Its totient is φ = 313463808.

The previous prime is 631968241. The next prime is 631968257. The reversal of 631968256 is 652869136.

It is not an unprimeable number, because it can be changed into a prime (631968257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60165 + ... + 69883.

It is an arithmetic number, because the mean of its divisors is an integer number (31819392).

Almost surely, 2631968256 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 631968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636387840).

631968256 is an abundant number, since it is smaller than the sum of its proper divisors (640807424).

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

631968256 is an equidigital number, since it uses as much as digits as its factorization.

631968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9864 (or 9848 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 631968256 is about 25138.9788177643. The cubic root of 631968256 is about 858.1537171859.

The spelling of 631968256 in words is "six hundred thirty-one million, nine hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 2032 4064 8128 9719 16256 19438 32512 38876 65024 77752 155504 311008 622016 1234313 1244032 2468626 2488064 4937252 4976128 9874504 19749008 39498016 78996032 157992064 315984128 631968256