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564248106 = 2343483013
BaseRepresentation
bin100001101000011…
…011111000101010
31110022201202220000
4201220123320222
52123421414411
6131553443430
716661013132
oct4150337052
91408652800
10564248106
1126a559a54
12138b70576
138cb8b826
1454d1bac2
1534809956
hex21a1be2a

564248106 has 20 divisors (see below), whose sum is σ = 1264334082. Its totient is φ = 188082648.

The previous prime is 564248101. The next prime is 564248117. The reversal of 564248106 is 601842465.

564248106 is a `hidden beast` number, since 5 + 642 + 4 + 8 + 1 + 0 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 562401225 + 1846881 = 23715^2 + 1359^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (564248101) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1741345 + ... + 1741668.

Almost surely, 2564248106 is an apocalyptic number.

564248106 is an abundant number, since it is smaller than the sum of its proper divisors (700085976).

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

564248106 is a wasteful number, since it uses less digits than its factorization.

564248106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483027 (or 3483018 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 564248106 is about 23753.9071733473. The cubic root of 564248106 is about 826.3360566259.

The spelling of 564248106 in words is "five hundred sixty-four million, two hundred forty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 3483013 6966026 10449039 20898078 31347117 62694234 94041351 188082702 282124053 564248106