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561994368 = 273131031093
BaseRepresentation
bin100001011111110…
…101101010000000
31110011111021100020
4201133311222000
52122332304433
6131433253440
716632605355
oct4137655200
91404437306
10561994368
1126925a761
12138264280
138c57ca60
14548d262c
1534511cb3
hex217f5a80

561994368 has 128 divisors (see below), whose sum is σ = 1624721280. Its totient is φ = 171085824.

The previous prime is 561994361. The next prime is 561994373. The reversal of 561994368 is 863499165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 561994368.

It is not an unprimeable number, because it can be changed into a prime (561994361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513630 + ... + 514722.

It is an arithmetic number, because the mean of its divisors is an integer number (12693135).

Almost surely, 2561994368 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 561994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812360640).

561994368 is an abundant number, since it is smaller than the sum of its proper divisors (1062726912).

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

561994368 is a wasteful number, since it uses less digits than its factorization.

561994368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1214 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 561994368 is about 23706.4203961712. The cubic root of 561994368 is about 825.2343958407.

The spelling of 561994368 in words is "five hundred sixty-one million, nine hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 309 312 384 412 416 618 624 824 832 1093 1236 1248 1339 1648 1664 2186 2472 2496 2678 3279 3296 4017 4372 4944 4992 5356 6558 6592 8034 8744 9888 10712 13116 13184 14209 16068 17488 19776 21424 26232 28418 32136 34976 39552 42627 42848 52464 56836 64272 69952 85254 85696 104928 112579 113672 128544 139904 170508 171392 209856 225158 227344 257088 337737 341016 419712 450316 454688 514176 675474 682032 900632 909376 1350948 1364064 1463527 1801264 1818752 2701896 2728128 2927054 3602528 4390581 5403792 5456256 5854108 7205056 8781162 10807584 11708216 14410112 17562324 21615168 23416432 35124648 43230336 46832864 70249296 93665728 140498592 187331456 280997184 561994368