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563242900 = 225211246549
BaseRepresentation
bin100001100100100…
…110011110010100
31110020211201000011
4201210212132110
52123142233100
6131520130004
716646325403
oct4144463624
91406751004
10563242900
11269a32800
12138766904
138c8c912c
1454b3963a
15346abbba
hex21926794

563242900 has 54 divisors (see below), whose sum is σ = 1343479550. Its totient is φ = 204811200.

The previous prime is 563242879. The next prime is 563242907. The reversal of 563242900 is 9242365.

It can be written as a sum of positive squares in 3 ways, for example, as 158911236 + 404331664 = 12606^2 + 20108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563242907) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 11175 + ... + 35374.

Almost surely, 2563242900 is an apocalyptic number.

563242900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

563242900 is an abundant number, since it is smaller than the sum of its proper divisors (780236650).

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

563242900 is a wasteful number, since it uses less digits than its factorization.

563242900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46585 (or 46567 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 563242900 is about 23732.7389906854. The cubic root of 563242900 is about 825.8450600226.

The spelling of 563242900 in words is "five hundred sixty-three million, two hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 46549 93098 186196 232745 465490 512039 930980 1024078 1163725 2048156 2327450 2560195 4654900 5120390 5632429 10240780 11264858 12800975 22529716 25601950 28162145 51203900 56324290 112648580 140810725 281621450 563242900