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565420338 = 23471972531
BaseRepresentation
bin100001101100111…
…010000100110010
31110101221022220000
4201230322010302
52124221422323
6132034530430
720003664540
oct4154720462
91411838800
10565420338
1127018a73a
12139436a16
13901ac262
1455144d90
153498be43
hex21b3a132

565420338 has 80 divisors (see below), whose sum is σ = 1455879744. Its totient is φ = 160665120.

The previous prime is 565420313. The next prime is 565420343. The reversal of 565420338 is 833024565.

It is a happy number.

It is a Curzon 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 39 ways as a sum of consecutive naturals, for example, 222133 + ... + 224663.

Almost surely, 2565420338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565420338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727939872).

565420338 is an abundant number, since it is smaller than the sum of its proper divisors (890459406).

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

565420338 is a wasteful number, since it uses less digits than its factorization.

565420338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 565420338 is about 23778.5688804015. The cubic root of 565420338 is about 826.9079017250.

It can be divided in two parts, 565 and 420338, that added together give a triangular number (420903 = T917).

The spelling of 565420338 in words is "five hundred sixty-five million, four hundred twenty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 197 378 394 567 591 1134 1182 1379 1773 2531 2758 3546 4137 5062 5319 7593 8274 10638 12411 15186 15957 17717 22779 24822 31914 35434 37233 45558 53151 68337 74466 106302 111699 136674 159453 205011 223398 318906 410022 478359 498607 956718 997214 1435077 1495821 2870154 2991642 3490249 4487463 6980498 8974926 10470747 13462389 20941494 26924778 31412241 40387167 62824482 80774334 94236723 188473446 282710169 565420338