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564132673 = 13371172833
BaseRepresentation
bin100001100111111…
…111101101000001
31110022111220112201
4201213333231001
52123404221143
6131551153201
716660022446
oct4147775501
91408456481
10564132673
1126a490255
12138b15801
138cb4b120
1454ccb9cd
15347d564d
hex219ffb41

564132673 has 8 divisors (see below), whose sum is σ = 623947688. Its totient is φ = 506663424.

The previous prime is 564132671. The next prime is 564132677. The reversal of 564132673 is 376231465.

It is the 9697-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 160604929 + 403527744 = 12673^2 + 20088^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 564132673 - 21 = 564132671 is a prime.

It is a super-2 number, since 2×5641326732 = 636491345492249858, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (564132671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 585936 + ... + 586897.

It is an arithmetic number, because the mean of its divisors is an integer number (77993461).

Almost surely, 2564132673 is an apocalyptic number.

It is an amenable number.

564132673 is a deficient number, since it is larger than the sum of its proper divisors (59815015).

564132673 is a wasteful number, since it uses less digits than its factorization.

564132673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172883.

The product of its digits is 90720, while the sum is 37.

The square root of 564132673 is about 23751.4772803714. The cubic root of 564132673 is about 826.2797026010.

The spelling of 564132673 in words is "five hundred sixty-four million, one hundred thirty-two thousand, six hundred seventy-three".

Divisors: 1 13 37 481 1172833 15246829 43394821 564132673