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564408039 = 31371317643
BaseRepresentation
bin100001101001000…
…010111011100111
31110100000220021110
4201221002323213
52123442024124
6132001120103
716662250326
oct4151027347
91410026243
10564408039
1126a659128
12139029033
138cc16570
1454d600bd
153483c029
hex21a42ee7

564408039 has 32 divisors (see below), whose sum is σ = 825721344. Its totient is φ = 340824960.

The previous prime is 564408037. The next prime is 564408049. The reversal of 564408039 is 930804465.

564408039 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 564408039 - 21 = 564408037 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 564407988 and 564408006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564408037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877452 + ... + 878094.

It is an arithmetic number, because the mean of its divisors is an integer number (25803792).

Almost surely, 2564408039 is an apocalyptic number.

564408039 is a deficient number, since it is larger than the sum of its proper divisors (261313305).

564408039 is a wasteful number, since it uses less digits than its factorization.

564408039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047.

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 564408039 is about 23757.2733915321. The cubic root of 564408039 is about 826.4141227098.

The spelling of 564408039 in words is "five hundred sixty-four million, four hundred eight thousand, thirty-nine".

Divisors: 1 3 13 39 71 213 317 643 923 951 1929 2769 4121 8359 12363 22507 25077 45653 67521 136959 203831 292591 593489 611493 877773 1780467 2649803 7949409 14472001 43416003 188136013 564408039