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561714912 = 2536112199
BaseRepresentation
bin100001011110110…
…001011011100000
31110010222002000000
4201132301123200
52122244334122
6131423300000
716630332543
oct4136613340
91403862000
10561714912
11269089800
1213814a600
138c4b27b5
145485c85a
15344a90ac
hex217b16e0

561714912 has 252 divisors, whose sum is σ = 1831649400. Its totient is φ = 169361280.

The previous prime is 561714893. The next prime is 561714919. The reversal of 561714912 is 219417165.

561714912 is a `hidden beast` number, since 561 + 7 + 1 + 4 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561714919) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2822589 + ... + 2822787.

It is an arithmetic number, because the mean of its divisors is an integer number (7268450).

Almost surely, 2561714912 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 561714912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915824700).

561714912 is an abundant number, since it is smaller than the sum of its proper divisors (1269934488).

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

561714912 is a wasteful number, since it uses less digits than its factorization.

561714912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 561714912 is about 23700.5255637929. The cubic root of 561714912 is about 825.0975884559.

The spelling of 561714912 in words is "five hundred sixty-one million, seven hundred fourteen thousand, nine hundred twelve".