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563832 = 233241191
BaseRepresentation
bin10001001101001111000
31001122102200
42021221320
5121020312
620030200
74535553
oct2115170
91048380
10563832
11355685
12232360
13169839
1410969a
15b20dc
hex89a78

563832 has 48 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 182400.

The previous prime is 563831. The next prime is 563837. The reversal of 563832 is 238365.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 563796 and 563805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2857 + ... + 3047.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2563832 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 563832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

563832 is an abundant number, since it is smaller than the sum of its proper divisors (1008648).

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

563832 is a wasteful number, since it uses less digits than its factorization.

563832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 563832 is about 750.8874749255. The cubic root of 563832 is about 82.6132878896.

The spelling of 563832 in words is "five hundred sixty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 191 246 328 369 382 492 573 738 764 984 1146 1476 1528 1719 2292 2952 3438 4584 6876 7831 13752 15662 23493 31324 46986 62648 70479 93972 140958 187944 281916 563832