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568864900 = 225253181593
BaseRepresentation
bin100001111010000…
…011000010000100
31110122102022221101
4201322003002010
52131112134100
6132240425444
720045162152
oct4172030204
91418368841
10568864900
1127212268a
1213a618284
1390b17066
14557a03d2
1534e1c86a
hex21e83084

568864900 has 72 divisors (see below), whose sum is σ = 1266809544. Its totient is φ = 221644800.

The previous prime is 568864889. The next prime is 568864903. The reversal of 568864900 is 9468865.

It can be written as a sum of positive squares in 12 ways, for example, as 237406464 + 331458436 = 15408^2 + 18206^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (568864903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959004 + ... + 959596.

It is an arithmetic number, because the mean of its divisors is an integer number (17594577).

Almost surely, 2568864900 is an apocalyptic number.

568864900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 568864900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633404772).

568864900 is an abundant number, since it is smaller than the sum of its proper divisors (697944644).

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

568864900 is a wasteful number, since it uses less digits than its factorization.

568864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 568864900 is about 23850.8888723251. Note that the first 4 decimals coincide. The cubic root of 568864900 is about 828.5836880299.

The spelling of 568864900 in words is "five hundred sixty-eight million, eight hundred sixty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 181 212 265 362 530 593 724 905 1060 1186 1325 1810 2372 2650 2965 3620 4525 5300 5930 9050 9593 11860 14825 18100 19186 29650 31429 38372 47965 59300 62858 95930 107333 125716 157145 191860 214666 239825 314290 429332 479650 536665 628580 785725 959300 1073330 1571450 2146660 2683325 3142900 5366650 5688649 10733300 11377298 22754596 28443245 56886490 113772980 142216225 284432450 568864900