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561714048 = 27337231107
BaseRepresentation
bin100001011110110…
…001001110000000
31110010222000211000
4201132301032000
52122244322143
6131423252000
716630330200
oct4136611600
91403860730
10561714048
11269089095
1213814a000
138c4b229c
145485c400
15344a8bd3
hex217b1380

561714048 has 384 divisors, whose sum is σ = 2009318400. Its totient is φ = 153861120.

The previous prime is 561714011. The next prime is 561714053. The reversal of 561714048 is 840417165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5249611 + ... + 5249717.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2561714048 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 561714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004659200).

561714048 is an abundant number, since it is smaller than the sum of its proper divisors (1447604352).

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

561714048 is a wasteful number, since it uses less digits than its factorization.

561714048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 561714048 is about 23700.5073363420. The cubic root of 561714048 is about 825.0971654153.

The spelling of 561714048 in words is "five hundred sixty-one million, seven hundred fourteen thousand, forty-eight".