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564114312 = 233271163677
BaseRepresentation
bin100001100111111…
…011001110001000
31110022110222100200
4201213323032020
52123403124222
6131550532200
716656615066
oct4147731610
91408428320
10564114312
1126a478483
12138b07060
138cb42968
1454cc5036
15347ceeac
hex219fb388

564114312 has 96 divisors (see below), whose sum is σ = 1561135680. Its totient is φ = 183980160.

The previous prime is 564114259. The next prime is 564114337. The reversal of 564114312 is 213411465.

It is a happy number.

564114312 is a `hidden beast` number, since 5 + 641 + 1 + 4 + 3 + 12 = 666.

564114312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832918 + ... + 833594.

It is an arithmetic number, because the mean of its divisors is an integer number (16261830).

Almost surely, 2564114312 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 564114312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780567840).

564114312 is an abundant number, since it is smaller than the sum of its proper divisors (997021368).

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

564114312 is a wasteful number, since it uses less digits than its factorization.

564114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 916 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 564114312 is about 23751.0907539001. The cubic root of 564114312 is about 826.2707381103.

Adding to 564114312 its reverse (213411465), we get a palindrome (777525777).

The spelling of 564114312 in words is "five hundred sixty-four million, one hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 163 213 284 326 426 489 568 639 652 677 852 978 1278 1304 1354 1467 1704 1956 2031 2556 2708 2934 3912 4062 5112 5416 5868 6093 8124 11573 11736 12186 16248 23146 24372 34719 46292 48067 48744 69438 92584 96134 104157 110351 138876 144201 192268 208314 220702 277752 288402 331053 384536 416628 432603 441404 576804 662106 833256 865206 882808 993159 1153608 1324212 1730412 1986318 2648424 3460824 3972636 7834921 7945272 15669842 23504763 31339684 47009526 62679368 70514289 94019052 141028578 188038104 282057156 564114312