Search a number
-
+
564544332 = 2232115973331
BaseRepresentation
bin100001101001100…
…100001101001100
31110100021211020100
4201221210031030
52124010404312
6132004051100
716663355562
oct4151441514
91410254210
10564544332
1126a741570
12139093a90
138cc63601
1454d97a32
15348675dc
hex21a6434c

564544332 has 144 divisors (see below), whose sum is σ = 1609695360. Its totient is φ = 165369600.

The previous prime is 564544327. The next prime is 564544333. The reversal of 564544332 is 233445465.

564544332 is a `hidden beast` number, since 5 + 645 + 4 + 4 + 3 + 3 + 2 = 666.

564544332 is nontrivially palindromic in base 8.

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 (564544333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1705407 + ... + 1705737.

It is an arithmetic number, because the mean of its divisors is an integer number (11178440).

Almost surely, 2564544332 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 564544332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804847680).

564544332 is an abundant number, since it is smaller than the sum of its proper divisors (1045151028).

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

564544332 is a wasteful number, since it uses less digits than its factorization.

564544332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 479 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 564544332 is about 23760.1416662443. The cubic root of 564544332 is about 826.4806380599.

Adding to 564544332 its reverse (233445465), we get a palindrome (797989797).

The spelling of 564544332 in words is "five hundred sixty-four million, five hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 73 99 118 132 146 177 198 219 236 292 331 354 396 438 531 649 657 662 708 803 876 993 1062 1298 1314 1324 1606 1947 1986 2124 2409 2596 2628 2979 3212 3641 3894 3972 4307 4818 5841 5958 7227 7282 7788 8614 9636 10923 11682 11916 12921 14454 14564 17228 19529 21846 23364 24163 25842 28908 32769 38763 39058 43692 47377 48326 51684 58587 65538 72489 77526 78116 94754 96652 117174 131076 142131 144978 155052 175761 189508 214819 217467 234348 265793 284262 289956 351522 426393 429638 434934 531586 568524 644457 703044 797379 852786 859276 869868 1063172 1288914 1425617 1594758 1705572 1933371 2392137 2577828 2851234 3189516 3866742 4276851 4784274 5702468 7733484 8553702 9568548 12830553 15681787 17107404 25661106 31363574 47045361 51322212 62727148 94090722 141136083 188181444 282272166 564544332