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561559296 = 28331103229
BaseRepresentation
bin100001011110001…
…011011100000000
31110010200011112110
4201132023130000
52122224344141
6131420055320
716626114054
oct4136133400
91403604473
10561559296
11268a928a1
12138094540
138c459a0c
145481bc64
1534477e16
hex2178b700

561559296 has 144 divisors (see below), whose sum is σ = 1564559360. Its totient is φ = 178606080.

The previous prime is 561559267. The next prime is 561559309. The reversal of 561559296 is 692955165.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2452110 + ... + 2452338.

Almost surely, 2561559296 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 561559296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782279680).

561559296 is an abundant number, since it is smaller than the sum of its proper divisors (1003000064).

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

561559296 is a wasteful number, since it uses less digits than its factorization.

561559296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its digits is 729000, while the sum is 48.

The square root of 561559296 is about 23697.2423712127. The cubic root of 561559296 is about 825.0213871407.

The spelling of 561559296 in words is "five hundred sixty-one million, five hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 103 124 128 186 192 206 229 248 256 309 372 384 412 458 496 618 687 744 768 824 916 992 1236 1374 1488 1648 1832 1984 2472 2748 2976 3193 3296 3664 3968 4944 5496 5952 6386 6592 7099 7328 7936 9579 9888 10992 11904 12772 13184 14198 14656 19158 19776 21297 21984 23587 23808 25544 26368 28396 29312 38316 39552 42594 43968 47174 51088 56792 58624 70761 76632 79104 85188 87936 94348 102176 113584 141522 153264 170376 175872 188696 204352 227168 283044 306528 340752 377392 408704 454336 566088 613056 681504 731197 754784 817408 908672 1132176 1226112 1363008 1462394 1509568 1817344 2193591 2264352 2452224 2726016 2924788 3019136 4387182 4528704 5452032 5849576 6038272 8774364 9057408 11699152 17548728 18114816 23398304 35097456 46796608 70194912 93593216 140389824 187186432 280779648 561559296