| Base | Representation |
|---|---|
| bin | 100001011111000… |
| … | …000101001000000 |
| 3 | 1110011002020110120 |
| 4 | 201133000221000 |
| 5 | 2122303332331 |
| 6 | 131424500240 |
| 7 | 16631012310 |
| oct | 4137005100 |
| 9 | 1404066416 |
| 10 | 561777216 |
| 11 | 2691215a0 |
| 12 | 13817a680 |
| 13 | 8c504c70 |
| 14 | 54877440 |
| 15 | 344bc796 |
| hex | 217c0a40 |
561777216 has 448 divisors, whose sum is σ = 2075566080. Its totient is φ = 129392640.
The previous prime is 561777211. The next prime is 561777221. The reversal of 561777216 is 612777165.
561777216 = T403 + T404 + ... + T1508.
It is an interprime number because it is at equal distance from previous prime (561777211) and next prime (561777221).
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (561777211) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7111065 + ... + 7111143.
It is an arithmetic number, because the mean of its divisors is an integer number (4632960).
Almost surely, 2561777216 is an apocalyptic number.
561777216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 561777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037783040).
561777216 is an abundant number, since it is smaller than the sum of its proper divisors (1513788864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
561777216 is a wasteful number, since it uses less digits than its factorization.
561777216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 162 (or 152 counting only the distinct ones).
The product of its digits is 123480, while the sum is 42.
The square root of 561777216 is about 23701.8399285794. The cubic root of 561777216 is about 825.1280932419.
It can be divided in two parts, 561 and 777216, that added together give a palindrome (777777).
The spelling of 561777216 in words is "five hundred sixty-one million, seven hundred seventy-seven thousand, two hundred sixteen".
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