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563253432 = 233723311447
BaseRepresentation
bin100001100100101…
…001000010111000
31110020212020110020
4201210221002320
52123143102212
6131520250440
716646401200
oct4144510270
91406766406
10563253432
11269a3a705
12138770a20
138c900b71
1454b3d400
15346aed8c
hex219290b8

563253432 has 96 divisors (see below), whose sum is σ = 1644117120. Its totient is φ = 160332480.

The previous prime is 563253413. The next prime is 563253433. The reversal of 563253432 is 234352365.

It is a junction number, because it is equal to n+sod(n) for n = 563253393 and 563253402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563253433) 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 23 ways as a sum of consecutive naturals, for example, 388533 + ... + 389979.

It is an arithmetic number, because the mean of its divisors is an integer number (17126220).

Almost surely, 2563253432 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 563253432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822058560).

563253432 is an abundant number, since it is smaller than the sum of its proper divisors (1080863688).

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

563253432 is a wasteful number, since it uses less digits than its factorization.

563253432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1790 counting only the distinct ones).

The product of its digits is 64800, while the sum is 33.

The square root of 563253432 is about 23732.9608772273. The cubic root of 563253432 is about 825.8502074441.

The spelling of 563253432 in words is "five hundred sixty-three million, two hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 331 392 588 662 993 1176 1324 1447 1986 2317 2648 2894 3972 4341 4634 5788 6951 7944 8682 9268 10129 11576 13902 16219 17364 18536 20258 27804 30387 32438 34728 40516 48657 55608 60774 64876 70903 81032 97314 121548 129752 141806 194628 212709 243096 283612 389256 425418 478957 567224 850836 957914 1436871 1701672 1915828 2873742 3352699 3831656 5747484 6705398 10058097 11494968 13410796 20116194 23468893 26821592 40232388 46937786 70406679 80464776 93875572 140813358 187751144 281626716 563253432