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564663616 = 26112343811
BaseRepresentation
bin100001101010000…
…001010101000000
31110100111212212021
4201222001111000
52124023213431
6132010411224
716664363416
oct4152012500
91410455767
10564663616
1126a813150
12139130b14
138cca59aa
1454dc92b6
153488cb11
hex21a81540

564663616 has 112 divisors (see below), whose sum is σ = 1306787328. Its totient is φ = 239500800.

The previous prime is 564663607. The next prime is 564663637. The reversal of 564663616 is 616366465.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695851 + ... + 696661.

It is an arithmetic number, because the mean of its divisors is an integer number (11667744).

Almost surely, 2564663616 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 564663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653393664).

564663616 is an abundant number, since it is smaller than the sum of its proper divisors (742123712).

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

564663616 is a wasteful number, since it uses less digits than its factorization.

564663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 890 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The square root of 564663616 is about 23762.6517038819. The cubic root of 564663616 is about 826.5388436889.

The spelling of 564663616 in words is "five hundred sixty-four million, six hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 43 44 46 64 86 88 92 172 176 184 253 344 352 368 473 506 688 704 736 811 946 989 1012 1376 1472 1622 1892 1978 2024 2752 3244 3784 3956 4048 6488 7568 7912 8096 8921 10879 12976 15136 15824 16192 17842 18653 21758 25952 30272 31648 34873 35684 37306 43516 51904 63296 69746 71368 74612 87032 139492 142736 149224 174064 205183 278984 285472 298448 348128 383603 410366 557968 570944 596896 696256 767206 802079 820732 1115936 1193792 1534412 1604158 1641464 2231872 3068824 3208316 3282928 6137648 6416632 6565856 8822869 12275296 12833264 13131712 17645738 24550592 25666528 35291476 51333056 70582952 141165904 282331808 564663616