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566540632 = 237194711329
BaseRepresentation
bin100001110001001…
…011100101011000
31110111001020122101
4201301023211120
52130013300012
6132114533144
720016341650
oct4161134530
91414036571
10566540632
112708853a9
121398971b4
13904b2158
1455357360
1534b0dd57
hex21c4b958

566540632 has 64 divisors (see below), whose sum is σ = 1305216000. Its totient is φ = 225110016.

The previous prime is 566540629. The next prime is 566540641. The reversal of 566540632 is 236045665.

It is a junction number, because it is equal to n+sod(n) for n = 566540591 and 566540600.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44344 + ... + 55672.

It is an arithmetic number, because the mean of its divisors is an integer number (20394000).

Almost surely, 2566540632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566540632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652608000).

566540632 is an abundant number, since it is smaller than the sum of its proper divisors (738675368).

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

566540632 is a wasteful number, since it uses less digits than its factorization.

566540632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408 (or 11404 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 566540632 is about 23802.1140237585. The cubic root of 566540632 is about 827.4536719803.

The spelling of 566540632 in words is "five hundred sixty-six million, five hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 47 56 76 94 133 152 188 266 329 376 532 658 893 1064 1316 1786 2632 3572 6251 7144 11329 12502 22658 25004 45316 50008 79303 90632 158606 215251 317212 430502 532463 634424 861004 1064926 1506757 1722008 2129852 3013514 3727241 4259704 6027028 7454482 10116797 12054056 14908964 20233594 29817928 40467188 70817579 80934376 141635158 283270316 566540632