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42560460 = 22325417379
BaseRepresentation
bin1010001001011…
…0101111001100
32222002021222100
42202112233030
541343413320
64120115100
71024520655
oct242265714
988067870
1042560460
112202a338
1212305a90
138a82107
14591c52c
153b0a790
hex2896bcc

42560460 has 144 divisors (see below), whose sum is σ = 135757440. Its totient is φ = 10782720.

The previous prime is 42560449. The next prime is 42560461. The reversal of 42560460 is 6406524.

It is a happy number.

42560460 is a `hidden beast` number, since 42 + 560 + 4 + 60 = 666.

42560460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425604602 = 3622785510823200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42560461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538701 + ... + 538779.

It is an arithmetic number, because the mean of its divisors is an integer number (942760).

Almost surely, 242560460 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 42560460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67878720).

42560460 is an abundant number, since it is smaller than the sum of its proper divisors (93196980).

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

42560460 is a wasteful number, since it uses less digits than its factorization.

42560460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42560460 is about 6523.8378275368. The cubic root of 42560460 is about 349.1420072722.

Adding to 42560460 its reverse (6406524), we get a palindrome (48966984).

The spelling of 42560460 in words is "forty-two million, five hundred sixty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 73 79 82 90 123 146 158 164 180 205 219 237 246 292 316 365 369 395 410 438 474 492 615 657 711 730 738 790 820 876 948 1095 1185 1230 1314 1422 1460 1476 1580 1845 2190 2370 2460 2628 2844 2993 3239 3285 3555 3690 4380 4740 5767 5986 6478 6570 7110 7380 8979 9717 11534 11972 12956 13140 14220 14965 16195 17301 17958 19434 23068 26937 28835 29151 29930 32390 34602 35916 38868 44895 48585 51903 53874 57670 58302 59860 64780 69204 86505 89790 97170 103806 107748 115340 116604 134685 145755 173010 179580 194340 207612 236447 259515 269370 291510 346020 472894 519030 538740 583020 709341 945788 1038060 1182235 1418682 2128023 2364470 2837364 3546705 4256046 4728940 7093410 8512092 10640115 14186820 21280230 42560460