Search a number
-
+
42560544 = 2531367509
BaseRepresentation
bin1010001001011…
…0110000100000
32222002022002110
42202112300200
541343414134
64120115320
71024521135
oct242266040
988068073
1042560544
112202a404
1212305b40
138a82170
14591c58c
153b0a7e9
hex2896c20

42560544 has 96 divisors (see below), whose sum is σ = 122351040. Its totient is φ = 12874752.

The previous prime is 42560519. The next prime is 42560647. The reversal of 42560544 is 44506524.

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

It is a super-2 number, since 2×425605442 = 3622799811151872, which contains 22 as substring.

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, 83362 + ... + 83870.

It is an arithmetic number, because the mean of its divisors is an integer number (1274490).

Almost surely, 242560544 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 42560544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61175520).

42560544 is an abundant number, since it is smaller than the sum of its proper divisors (79790496).

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

42560544 is a wasteful number, since it uses less digits than its factorization.

42560544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 42560544 is about 6523.8442654619. The cubic root of 42560544 is about 349.1422369682.

The spelling of 42560544 in words is "forty-two million, five hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 201 208 268 312 402 416 509 536 624 804 871 1018 1072 1248 1527 1608 1742 2036 2144 2613 3054 3216 3484 4072 5226 6108 6432 6617 6968 8144 10452 12216 13234 13936 16288 19851 20904 24432 26468 27872 34103 39702 41808 48864 52936 68206 79404 83616 102309 105872 136412 158808 204618 211744 272824 317616 409236 443339 545648 635232 818472 886678 1091296 1330017 1636944 1773356 2660034 3273888 3546712 5320068 7093424 10640136 14186848 21280272 42560544