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565430528 = 2813238389
BaseRepresentation
bin100001101100111…
…100100100000000
31110101221211212102
4201230330210000
52124222234103
6132035045532
720004036335
oct4154744400
91411854772
10565430528
11270197363
121394408a8
13901b3aa0
145514898c
153498ee88
hex21b3c900

565430528 has 144 divisors (see below), whose sum is σ = 1298021760. Its totient is φ = 243843072.

The previous prime is 565430527. The next prime is 565430531. The reversal of 565430528 is 825034565.

It is a junction number, because it is equal to n+sod(n) for n = 565430491 and 565430500.

It is not an unprimeable number, because it can be changed into a prime (565430527) 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 15 ways as a sum of consecutive naturals, for example, 6353108 + ... + 6353196.

It is an arithmetic number, because the mean of its divisors is an integer number (9014040).

Almost surely, 2565430528 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 565430528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649010880).

565430528 is an abundant number, since it is smaller than the sum of its proper divisors (732591232).

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

565430528 is a wasteful number, since it uses less digits than its factorization.

565430528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 565430528 is about 23778.7831480082. The cubic root of 565430528 is about 826.9128692040.

The spelling of 565430528 in words is "five hundred sixty-five million, four hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 83 89 92 104 128 166 178 184 208 256 299 332 356 368 416 598 664 712 736 832 1079 1157 1196 1328 1424 1472 1664 1909 2047 2158 2314 2392 2656 2848 2944 3328 3818 4094 4316 4628 4784 5312 5696 5888 7387 7636 8188 8632 9256 9568 10624 11392 14774 15272 16376 17264 18512 19136 21248 22784 24817 26611 29548 30544 32752 34528 37024 38272 49634 53222 59096 61088 65504 69056 74048 76544 96031 99268 106444 118192 122176 131008 138112 148096 169901 192062 198536 212888 236384 244352 262016 276224 296192 339802 384124 397072 425776 472768 488704 524032 679604 768248 794144 851552 945536 1359208 1536496 1588288 1703104 1891072 2208713 2718416 3072992 3176576 3406208 4417426 5436832 6145984 6353152 6812416 8834852 10873664 12291968 17669704 21747328 24583936 35339408 43494656 70678816 141357632 282715264 565430528