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564083324 = 227171997643
BaseRepresentation
bin100001100111110…
…011101001111100
31110022102101211222
4201213303221330
52123401131244
6131550132512
716656425540
oct4147635174
91408371758
10564083324
1126a457172
12138ab1138
138cb3181c
1454cb7a20
15347c5bee
hex219f3a7c

564083324 has 96 divisors (see below), whose sum is σ = 1272337920. Its totient is φ = 213000192.

The previous prime is 564083323. The next prime is 564083329. The reversal of 564083324 is 423380465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564083323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876947 + ... + 877589.

It is an arithmetic number, because the mean of its divisors is an integer number (13253520).

Almost surely, 2564083324 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 564083324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636168960).

564083324 is an abundant number, since it is smaller than the sum of its proper divisors (708254596).

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

564083324 is a wasteful number, since it uses less digits than its factorization.

564083324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 564083324 is about 23750.4383959539. The cubic root of 564083324 is about 826.2556082298.

The spelling of 564083324 in words is "five hundred sixty-four million, eighty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 97 119 133 194 238 266 323 388 476 532 643 646 679 1286 1292 1358 1649 1843 2261 2572 2716 3298 3686 4501 4522 6596 7372 9002 9044 10931 11543 12217 12901 18004 21862 23086 24434 25802 31331 43724 46172 48868 51604 62371 62662 76517 85519 124742 125324 153034 171038 207689 219317 249484 306068 342076 415378 436597 438634 830756 873194 877268 1060307 1185049 1453823 1746388 2120614 2370098 2907646 4241228 4740196 5815292 7422149 8295343 14844298 16590686 20145833 29688596 33181372 40291666 80583332 141020831 282041662 564083324