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565225440 = 253513239379
BaseRepresentation
bin100001101100001…
…010011111100000
31110101120102112120
4201230022133200
52124144203230
6132030424240
720002223403
oct4154123740
91411512476
10565225440
1127006726a
12139362080
1390141630
14550d3d3a
153494e310
hex21b0a7e0

565225440 has 192 divisors, whose sum is σ = 1930521600. Its totient is φ = 138184704.

The previous prime is 565225417. The next prime is 565225459. The reversal of 565225440 is 44522565.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1491171 + ... + 1491549.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2565225440 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 565225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965260800).

565225440 is an abundant number, since it is smaller than the sum of its proper divisors (1365296160).

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

565225440 is a wasteful number, since it uses less digits than its factorization.

565225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 565225440 is about 23774.4703411033. The cubic root of 565225440 is about 826.8128802538.

The spelling of 565225440 in words is "five hundred sixty-five million, two hundred twenty-five thousand, four hundred forty".