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564403021 = 72131137841
BaseRepresentation
bin100001101001000…
…001101101001101
31110100000122101121
4201221001231031
52123441344041
6132001040541
716662226600
oct4151015515
91410018347
10564403021
1126a655386
12139026151
138cc141b0
1454d5c337
153483a7d1
hex21a41b4d

564403021 has 24 divisors (see below), whose sum is σ = 713402424. Its totient is φ = 442552320.

The previous prime is 564403001. The next prime is 564403033. The reversal of 564403021 is 120304465.

It can be written as a sum of positive squares in 4 ways, for example, as 23328900 + 541074121 = 4830^2 + 23261^2 .

It is not a de Polignac number, because 564403021 - 223 = 556014413 is a prime.

It is a super-2 number, since 2×5644030212 = 637101540227852882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564403001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68061 + ... + 75901.

It is an arithmetic number, because the mean of its divisors is an integer number (29725101).

Almost surely, 2564403021 is an apocalyptic number.

It is an amenable number.

564403021 is a deficient number, since it is larger than the sum of its proper divisors (148999403).

564403021 is a wasteful number, since it uses less digits than its factorization.

564403021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 564403021 is about 23757.1677815349. The cubic root of 564403021 is about 826.4116735607.

Adding to 564403021 its reverse (120304465), we get a palindrome (684707486).

The spelling of 564403021 in words is "five hundred sixty-four million, four hundred three thousand, twenty-one".

Divisors: 1 7 13 49 91 113 637 791 1469 5537 7841 10283 54887 71981 101933 384209 713531 886033 4994717 6202231 11518429 43415617 80629003 564403021