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563562240 = 2835178997
BaseRepresentation
bin100001100101110…
…100011100000000
31110021102221001120
4201211310130000
52123232442430
6131531032240
716652125413
oct4145643400
91407387046
10563562240
1126a13071a
1213889b680
138c9ab5a7
1454bbdb7a
1534721610
hex21974700

563562240 has 288 divisors, whose sum is σ = 1947032640. Its totient is φ = 138412032.

The previous prime is 563562227. The next prime is 563562269. The reversal of 563562240 is 42265365.

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 31 ways as a sum of consecutive naturals, for example, 5809872 + ... + 5809968.

It is an arithmetic number, because the mean of its divisors is an integer number (6760530).

Almost surely, 2563562240 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 563562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973516320).

563562240 is an abundant number, since it is smaller than the sum of its proper divisors (1383470400).

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

563562240 is a wasteful number, since it uses less digits than its factorization.

563562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 563562240 is about 23739.4658743620. The cubic root of 563562240 is about 826.0011061003.

The spelling of 563562240 in words is "five hundred sixty-three million, five hundred sixty-two thousand, two hundred forty".