Search a number
-
+
564042320 = 24517414737
BaseRepresentation
bin100001100111101…
…001101001010000
31110022100022121022
4201213221221100
52123343323240
6131545215012
716656165152
oct4147515120
91408308538
10564042320
1126a429386
12138a91468
138cb18c6a
1454ca6ad2
15347b89b5
hex219e9a50

564042320 has 40 divisors (see below), whose sum is σ = 1388542824. Its totient is φ = 212344832.

The previous prime is 564042313. The next prime is 564042359. The reversal of 564042320 is 23240465.

It can be written as a sum of positive squares in 4 ways, for example, as 324288064 + 239754256 = 18008^2 + 15484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 564042320.

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 7 ways as a sum of consecutive naturals, for example, 206009 + ... + 208728.

Almost surely, 2564042320 is an apocalyptic number.

It is an amenable number.

564042320 is an abundant number, since it is smaller than the sum of its proper divisors (824500504).

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

564042320 is a wasteful number, since it uses less digits than its factorization.

564042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414767 (or 414761 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 564042320 is about 23749.5751540949. The cubic root of 564042320 is about 826.2355871889.

Adding to 564042320 its reverse (23240465), we get a palindrome (587282785).

The spelling of 564042320 in words is "five hundred sixty-four million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 414737 829474 1658948 2073685 3317896 4147370 6635792 7050529 8294740 14101058 16589480 28202116 33178960 35252645 56404232 70505290 112808464 141010580 282021160 564042320