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56563 = 1319229
BaseRepresentation
bin1101110011110011
32212120221
431303303
53302223
61113511
7323623
oct156363
985527
1056563
1139551
1228897
131c990
1416883
1511b5d
hexdcf3

56563 has 8 divisors (see below), whose sum is σ = 64400. Its totient is φ = 49248.

The previous prime is 56543. The next prime is 56569. The reversal of 56563 is 36565.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 56563 - 25 = 56531 is a prime.

It is a d-powerful number, because it can be written as 5 + 63 + 55 + 66 + 38 .

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

It is a Duffinian number.

56563 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (56569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (8050).

256563 is an apocalyptic number.

56563 is a deficient number, since it is larger than the sum of its proper divisors (7837).

56563 is a wasteful number, since it uses less digits than its factorization.

With its successor (56564) it forms an eRAP, since the sums of their prime factors are consecutive (261 and 262).

56563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its digits is 2700, while the sum is 25.

The square root of 56563 is about 237.8297710548. The cubic root of 56563 is about 38.3864083119.

The spelling of 56563 in words is "fifty-six thousand, five hundred sixty-three".

Divisors: 1 13 19 229 247 2977 4351 56563