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561733640 = 235133134847
BaseRepresentation
bin100001011110110…
…110000000001000
31110011000000200122
4201132312000020
52122300434030
6131423522412
716630441256
oct4136660010
91404000618
10561733640
112690a1886
12138159408
138c4bb190
14548655d6
15344ae8e5
hex217b6008

561733640 has 64 divisors (see below), whose sum is σ = 1405071360. Its totient is φ = 200712960.

The previous prime is 561733603. The next prime is 561733643. The reversal of 561733640 is 46337165.

It is a self number, because there is not a number n which added to its sum of digits gives 561733640.

It is not an unprimeable number, because it can be changed into a prime (561733643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1304 + ... + 33543.

It is an arithmetic number, because the mean of its divisors is an integer number (21954240).

Almost surely, 2561733640 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 561733640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702535680).

561733640 is an abundant number, since it is smaller than the sum of its proper divisors (843337720).

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

561733640 is a wasteful number, since it uses less digits than its factorization.

561733640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34902 (or 34898 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 561733640 is about 23700.9206572234. The cubic root of 561733640 is about 825.1067581465.

The spelling of 561733640 in words is "five hundred sixty-one million, seven hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 16120 34847 69694 139388 174235 278776 348470 453011 696940 906022 1080257 1393880 1812044 2160514 2265055 3624088 4321028 4530110 5401285 8642056 9060220 10802570 14043341 18120440 21605140 28086682 43210280 56173364 70216705 112346728 140433410 280866820 561733640