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565005056 = 2871128663
BaseRepresentation
bin100001101011010…
…100101100000000
31110101011020020012
4201223110230000
52124120130211
6132022004052
720000315030
oct4153245400
91411136205
10565005056
1126aa26730
12139276628
1390095225
14550778c0
1534908d8b
hex21ad4b00

565005056 has 72 divisors (see below), whose sum is σ = 1406141184. Its totient is φ = 220124160.

The previous prime is 565005053. The next prime is 565005061. The reversal of 565005056 is 650500565.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (565005053) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5381 + ... + 34043.

Almost surely, 2565005056 is an apocalyptic number.

565005056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703070592).

565005056 is an abundant number, since it is smaller than the sum of its proper divisors (841136128).

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

565005056 is a wasteful number, since it uses less digits than its factorization.

565005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28697 (or 28683 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 565005056 is about 23769.8350015308. The cubic root of 565005056 is about 826.7054069023.

The spelling of 565005056 in words is "five hundred sixty-five million, five thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 19712 28663 57326 114652 200641 229304 315293 401282 458608 630586 802564 917216 1261172 1605128 1834432 2207051 2522344 3210256 3668864 4414102 5044688 6420512 7337728 8828204 10089376 12841024 17656408 20178752 25682048 35312816 40357504 51364096 70625632 80715008 141251264 282502528 565005056