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561836880 = 243251126449
BaseRepresentation
bin100001011111001…
…111001101010000
31110011012021022100
4201133033031100
52122312240010
6131430040400
716631351253
oct4137171520
91404167270
10561836880
11269162400
121381a9100
138c526177
145489109a
15344d02c0
hex217cf350

561836880 has 180 divisors, whose sum is σ = 2074281300. Its totient is φ = 136181760.

The previous prime is 561836831. The next prime is 561836887. The reversal of 561836880 is 88638165.

561836880 is a `hidden beast` number, since 561 + 8 + 3 + 6 + 8 + 80 = 666.

561836880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 407878416 + 153958464 = 20196^2 + 12408^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561836887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83896 + ... + 90344.

It is an arithmetic number, because the mean of its divisors is an integer number (11523785).

Almost surely, 2561836880 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 561836880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037140650).

561836880 is an abundant number, since it is smaller than the sum of its proper divisors (1512444420).

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

561836880 is a wasteful number, since it uses less digits than its factorization.

561836880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 561836880 is about 23703.0985316266. The cubic root of 561836880 is about 825.1573033383.

The spelling of 561836880 in words is "five hundred sixty-one million, eight hundred thirty-six thousand, eight hundred eighty".