Search a number
-
+
564463044 = 223247449743
BaseRepresentation
bin100001101001010…
…000010111000100
31110100010200201200
4201221100113010
52124000304134
6132002222500
716662566565
oct4151202704
91410120650
10564463044
1126a696492
12139054a30
138cc35602
1454d7616c
153484d499
hex21a505c4

564463044 has 72 divisors (see below), whose sum is σ = 1462406400. Its totient is φ = 183493632.

The previous prime is 564462991. The next prime is 564463049. The reversal of 564463044 is 440364465.

564463044 is a `hidden beast` number, since 5 + 644 + 6 + 3 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (564463049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759337 + ... + 760079.

It is an arithmetic number, because the mean of its divisors is an integer number (20311200).

Almost surely, 2564463044 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 564463044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

564463044 is an abundant number, since it is smaller than the sum of its proper divisors (897943356).

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

564463044 is a wasteful number, since it uses less digits than its factorization.

564463044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 564463044 is about 23758.4310088019. The cubic root of 564463044 is about 826.4409682005.

The spelling of 564463044 in words is "five hundred sixty-four million, four hundred sixty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 449 564 743 846 898 1347 1486 1692 1796 2229 2694 2972 4041 4458 5388 6687 8082 8916 13374 16164 21103 26748 34921 42206 63309 69842 84412 104763 126618 139684 189927 209526 253236 314289 333607 379854 419052 628578 667214 759708 1000821 1257156 1334428 2001642 3002463 4003284 6004926 12009852 15679529 31359058 47038587 62718116 94077174 141115761 188154348 282231522 564463044