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564408063 = 322329167563
BaseRepresentation
bin100001101001000…
…010111011111111
31110100000220022100
4201221002323333
52123442024223
6132001120143
716662250362
oct4151027377
91410026270
10564408063
1126a65914a
12139029053
138cc1658b
1454d600d9
153483c043
hex21a42eff

564408063 has 48 divisors (see below), whose sum is σ = 886878720. Its totient is φ = 344807232.

The previous prime is 564408059. The next prime is 564408071. The reversal of 564408063 is 360804465.

564408063 is a `hidden beast` number, since 5 + 644 + 0 + 8 + 0 + 6 + 3 = 666.

It is not a de Polignac number, because 564408063 - 22 = 564408059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564408023) 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 47 ways as a sum of consecutive naturals, for example, 1002220 + ... + 1002782.

It is an arithmetic number, because the mean of its divisors is an integer number (18476640).

Almost surely, 2564408063 is an apocalyptic number.

564408063 is a deficient number, since it is larger than the sum of its proper divisors (322470657).

564408063 is a wasteful number, since it uses less digits than its factorization.

564408063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564408063 is about 23757.2738966406. The cubic root of 564408063 is about 826.4141344235.

The spelling of 564408063 in words is "five hundred sixty-four million, four hundred eight thousand, sixty-three".

Divisors: 1 3 9 23 29 69 87 167 207 261 501 563 667 1503 1689 2001 3841 4843 5067 6003 11523 12949 14529 16327 34569 38847 43587 48981 94021 111389 116541 146943 282063 334167 375521 846189 1002501 1126563 2162483 2726609 3379689 6487449 8179827 19462347 24539481 62712007 188136021 564408063