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564697413 = 3472731949
BaseRepresentation
bin100001101010001…
…001100101000101
31110100120121020000
4201222021211011
52124030304123
6132011231513
716664564100
oct4152114505
91410517200
10564697413
1126a836585
12139148599
138ccb81a7
1454dd7737
1534897b43
hex21a89945

564697413 has 60 divisors (see below), whose sum is σ = 995237100. Its totient is φ = 318100608.

The previous prime is 564697409. The next prime is 564697417. The reversal of 564697413 is 314796465.

564697413 is a `hidden beast` number, since 564 + 6 + 9 + 74 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (564697409) and next prime (564697417).

It can be written as a sum of positive squares in 2 ways, for example, as 391327524 + 173369889 = 19782^2 + 13167^2 .

It is not a de Polignac number, because 564697413 - 22 = 564697409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564697417) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 288763 + ... + 290711.

It is an arithmetic number, because the mean of its divisors is an integer number (16587285).

Almost surely, 2564697413 is an apocalyptic number.

It is an amenable number.

564697413 is a deficient number, since it is larger than the sum of its proper divisors (430539687).

564697413 is a wasteful number, since it uses less digits than its factorization.

564697413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2032 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 564697413 is about 23763.3628302057. The cubic root of 564697413 is about 826.5553337284. Note that the first 3 decimals are identical.

The spelling of 564697413 in words is "five hundred sixty-four million, six hundred ninety-seven thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 73 81 147 189 219 441 511 567 657 1323 1533 1949 1971 3577 3969 4599 5847 5913 10731 13643 13797 17541 32193 40929 41391 52623 95501 96579 122787 142277 157869 286503 289737 368361 426831 859509 995939 1105083 1280493 2578527 2987817 3841479 6971573 7735581 8963451 11524437 20914719 26890353 62744157 80671059 188232471 564697413