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561044232 = 23397509
BaseRepresentation
bin100001011100001…
…101101100001000
31110002201000000000
4201130031230020
52122111403412
6131401043000
716621540320
oct4134155410
91402630000
10561044232
11268770921
12137a86460
138c309448
1454726280
15343c54dc
hex2170db08

561044232 has 160 divisors (see below), whose sum is σ = 1806868800. Its totient is φ = 159983424.

The previous prime is 561044213. The next prime is 561044233. The reversal of 561044232 is 232440165.

561044232 is a `hidden beast` number, since 5 + 610 + 4 + 42 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 561044196 and 561044205.

It is not an unprimeable number, because it can be changed into a prime (561044233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1101994 + ... + 1102502.

It is an arithmetic number, because the mean of its divisors is an integer number (11292930).

Almost surely, 2561044232 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 561044232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903434400).

561044232 is an abundant number, since it is smaller than the sum of its proper divisors (1245824568).

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

561044232 is an frugal number, since it uses more digits than its factorization.

561044232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 561044232 is about 23686.3722845015. The cubic root of 561044232 is about 824.7690725567.

Adding to 561044232 its reverse (232440165), we get a palindrome (793484397).

The spelling of 561044232 in words is "five hundred sixty-one million, forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 509 567 648 729 756 972 1018 1134 1458 1512 1527 1701 1944 2036 2187 2268 2916 3054 3402 3563 4072 4374 4536 4581 5103 5832 6108 6561 6804 7126 8748 9162 10206 10689 12216 13122 13608 13743 14252 15309 17496 18324 19683 20412 21378 26244 27486 28504 30618 32067 36648 39366 40824 41229 42756 45927 52488 54972 61236 64134 78732 82458 85512 91854 96201 109944 122472 123687 128268 137781 157464 164916 183708 192402 247374 256536 275562 288603 329832 367416 371061 384804 494748 551124 577206 742122 769608 865809 989496 1102248 1113183 1154412 1484244 1731618 2226366 2308824 2597427 2968488 3339549 3463236 4452732 5194854 6679098 6926472 7792281 8905464 10018647 10389708 13358196 15584562 20037294 20779416 23376843 26716392 31169124 40074588 46753686 62338248 70130529 80149176 93507372 140261058 187014744 280522116 561044232