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564523136 = 27193643
BaseRepresentation
bin100001101001011…
…111000010000000
31110100020202011022
4201221133002000
52124004220021
6132003405012
716663240022
oct4151370200
91410222138
10564523136
1126a727651
12139083768
138cc56a78
1454d90012
15348611ab
hex21a5f080

564523136 has 64 divisors (see below), whose sum is σ = 1188952800. Its totient is φ = 266989824.

The previous prime is 564523129. The next prime is 564523139. The reversal of 564523136 is 631325465.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 564523096 and 564523105.

It is not an unprimeable number, because it can be changed into a prime (564523139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877631 + ... + 878273.

Almost surely, 2564523136 is an apocalyptic number.

564523136 is the 13718-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594476400).

564523136 is an abundant number, since it is smaller than the sum of its proper divisors (624429664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564523136 is an frugal number, since it uses more digits than its factorization.

564523136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 664 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

The square root of 564523136 is about 23759.6956209460. The cubic root of 564523136 is about 826.4702944359.

The spelling of 564523136 in words is "five hundred sixty-four million, five hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 643 722 1216 1286 1444 2432 2572 2888 5144 5776 6859 10288 11552 12217 13718 20576 23104 24434 27436 41152 46208 48868 54872 82304 97736 109744 195472 219488 232123 390944 438976 464246 781888 877952 928492 1563776 1856984 3713968 4410337 7427936 8820674 14855872 17641348 29711744 35282696 70565392 141130784 282261568 564523136