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575384964 = 2237112572423
BaseRepresentation
bin100010010010111…
…010110110000100
31111002200120210020
4202102322312010
52134244304324
6133032255140
720154456120
oct4222726604
91432616706
10575384964
11275876270
121408414b0
139228a99b
14565ba580
15357a9679
hex224bad84

575384964 has 96 divisors (see below), whose sum is σ = 1681053696. Its totient is φ = 148807680.

The previous prime is 575384963. The next prime is 575384983. The reversal of 575384964 is 469483575.

It is not an unprimeable number, because it can be changed into a prime (575384963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 236257 + ... + 238679.

It is an arithmetic number, because the mean of its divisors is an integer number (17510976).

Almost surely, 2575384964 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 575384964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840526848).

575384964 is an abundant number, since it is smaller than the sum of its proper divisors (1105668732).

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

575384964 is a wasteful number, since it uses less digits than its factorization.

575384964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2703 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 575384964 is about 23987.1833277690. The cubic root of 575384964 is about 831.7372833766.

The spelling of 575384964 in words is "five hundred seventy-five million, three hundred eighty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 257 308 462 514 771 924 1028 1542 1799 2423 2827 3084 3598 4846 5397 5654 7196 7269 8481 9692 10794 11308 14538 16961 16962 19789 21588 26653 29076 33922 33924 39578 50883 53306 59367 67844 79156 79959 101766 106612 118734 159918 186571 203532 237468 319836 373142 559713 622711 746284 1119426 1245422 1868133 2238852 2490844 3736266 4358977 6849821 7472532 8717954 13076931 13699642 17435908 20549463 26153862 27399284 41098926 47948747 52307724 82197852 95897494 143846241 191794988 287692482 575384964