Search a number
-
+
563542000 = 2453740253
BaseRepresentation
bin100001100101101…
…111011111110000
31110021101220021221
4201211233133300
52123231321000
6131530354424
716652012410
oct4145573760
91407356257
10563542000
1126a11749a
1213888ba14
138c9a2308
1454bb6640
153471a61a
hex2196f7f0

563542000 has 80 divisors (see below), whose sum is σ = 1557346752. Its totient is φ = 193209600.

The previous prime is 563541991. The next prime is 563542039. The reversal of 563542000 is 245365.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6127 + ... + 34126.

Almost surely, 2563542000 is an apocalyptic number.

563542000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

563542000 is an abundant number, since it is smaller than the sum of its proper divisors (993804752).

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

563542000 is a wasteful number, since it uses less digits than its factorization.

563542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40283 (or 40267 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 563542000 is about 23739.0395761918. The cubic root of 563542000 is about 825.9912175370.

Adding to 563542000 its reverse (245365), we get a palindrome (563787365).

The spelling of 563542000 in words is "five hundred sixty-three million, five hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 40253 80506 161012 201265 281771 322024 402530 563542 644048 805060 1006325 1127084 1408855 1610120 2012650 2254168 2817710 3220240 4025300 4508336 5031625 5635420 7044275 8050600 10063250 11270840 14088550 16101200 20126500 22541680 28177100 35221375 40253000 56354200 70442750 80506000 112708400 140885500 281771000 563542000