Search a number
-
+
561327648 = 25376831223
BaseRepresentation
bin100001011101010…
…010111000100000
31110010020101202220
4201131102320200
52122144441043
6131411111040
716624130520
oct4135227040
91403211686
10561327648
11268944852
12137ba2480
138c3a844b
145479b680
153442e483
hex21752e20

561327648 has 96 divisors (see below), whose sum is σ = 1687827456. Its totient is φ = 160013568.

The previous prime is 561327623. The next prime is 561327661. The reversal of 561327648 is 846723165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458365 + ... + 459587.

It is an arithmetic number, because the mean of its divisors is an integer number (17581536).

Almost surely, 2561327648 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 561327648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843913728).

561327648 is an abundant number, since it is smaller than the sum of its proper divisors (1126499808).

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

561327648 is a wasteful number, since it uses less digits than its factorization.

561327648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 561327648 is about 23692.3542097445. The cubic root of 561327648 is about 824.9079287517.

The spelling of 561327648 in words is "five hundred sixty-one million, three hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 683 1223 1366 2049 2446 2732 3669 4098 4781 4892 5464 7338 8196 8561 9562 9784 10928 14343 14676 16392 17122 19124 19568 21856 25683 28686 29352 32784 34244 38248 39136 51366 57372 58704 65568 68488 76496 102732 114744 117408 136976 152992 205464 229488 273952 410928 458976 821856 835309 1670618 2505927 3341236 5011854 5847163 6682472 10023708 11694326 13364944 17541489 20047416 23388652 26729888 35082978 40094832 46777304 70165956 80189664 93554608 140331912 187109216 280663824 561327648