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563325 = 35272937
BaseRepresentation
bin10001001100001111101
31001121201220
42021201331
5121011300
620023553
74534230
oct2114175
91047656
10563325
11355264
12231bb9
13169539
14109417
15b1da0
hex8987d

563325 has 48 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 241920.

The previous prime is 563287. The next prime is 563327. The reversal of 563325 is 523365.

563325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 563325 - 27 = 563197 is a prime.

563325 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 563295 and 563304.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 563325.

It is not an unprimeable number, because it can be changed into a prime (563327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15207 + ... + 15243.

It is an arithmetic number, because the mean of its divisors is an integer number (23560).

2563325 is an apocalyptic number.

It is an amenable number.

563325 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

563325 is a wasteful number, since it uses less digits than its factorization.

563325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 81 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 563325 is about 750.5497984811. The cubic root of 563325 is about 82.5885183970.

It can be divided in two parts, 563 and 325, that added together give a palindrome (888).

The spelling of 563325 in words is "five hundred sixty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 29 35 37 75 87 105 111 145 175 185 203 259 435 525 555 609 725 777 925 1015 1073 1295 2175 2775 3045 3219 3885 5075 5365 6475 7511 15225 16095 19425 22533 26825 37555 80475 112665 187775 563325