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561897648 = 24351311117
BaseRepresentation
bin100001011111011…
…110000010110000
31110011022100200000
4201133132002300
52122321211043
6131431230000
716632023364
oct4137360260
91404270600
10561897648
112691a4024
12138218300
138c547a20
14548a92a4
15344e32d3
hex217de0b0

561897648 has 120 divisors (see below), whose sum is σ = 1756377168. Its totient is φ = 172876032.

The previous prime is 561897629. The next prime is 561897653. The reversal of 561897648 is 846798165.

561897648 is a `hidden beast` number, since 561 + 8 + 9 + 76 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 561897594 and 561897603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44986 + ... + 56102.

Almost surely, 2561897648 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 561897648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878188584).

561897648 is an abundant number, since it is smaller than the sum of its proper divisors (1194479520).

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

561897648 is a wasteful number, since it uses less digits than its factorization.

561897648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11153 (or 11135 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 561897648 is about 23704.3803546939. The cubic root of 561897648 is about 825.1870518015.

The spelling of 561897648 in words is "five hundred sixty-one million, eight hundred ninety-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 11117 12636 16848 22234 25272 33351 44468 50544 66702 88936 100053 133404 144521 177872 200106 266808 289042 300159 400212 433563 533616 578084 600318 800424 867126 900477 1156168 1200636 1300689 1600848 1734252 1800954 2312336 2401272 2601378 2701431 3468504 3601908 3902067 4802544 5202756 5402862 6937008 7203816 7804134 10405512 10805724 11706201 14407632 15608268 20811024 21611448 23412402 31216536 35118603 43222896 46824804 62433072 70237206 93649608 140474412 187299216 280948824 561897648