Search a number
-
+
42985860 = 22351723767
BaseRepresentation
bin1010001111111…
…0100110000100
32222212220111220
42203332212010
542001021420
64133200340
71031242131
oct243764604
988786456
1042985860
112229aa05
12124900b0
138ba0928
1459cd588
153b91840
hex28fe984

42985860 has 144 divisors (see below), whose sum is σ = 133272384. Its totient is φ = 10340352.

The previous prime is 42985849. The next prime is 42985861. The reversal of 42985860 is 6858924.

42985860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42985861) 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, 641547 + ... + 641613.

Almost surely, 242985860 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 42985860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66636192).

42985860 is an abundant number, since it is smaller than the sum of its proper divisors (90286524).

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

42985860 is a wasteful number, since it uses less digits than its factorization.

42985860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 42985860 is about 6556.3602707600. The cubic root of 42985860 is about 350.3014002406.

The spelling of 42985860 in words is "forty-two million, nine hundred eighty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 67 68 74 85 102 111 134 148 170 185 201 204 222 255 268 289 335 340 370 402 444 510 555 578 629 670 740 804 867 1005 1020 1110 1139 1156 1258 1340 1445 1734 1887 2010 2220 2278 2479 2516 2890 3145 3417 3468 3774 4020 4335 4556 4958 5695 5780 6290 6834 7437 7548 8670 9435 9916 10693 11390 12395 12580 13668 14874 17085 17340 18870 19363 21386 22780 24790 29748 32079 34170 37185 37740 38726 42143 42772 49580 53465 58089 64158 68340 74370 77452 84286 96815 106930 116178 126429 128316 148740 160395 168572 193630 210715 213860 232356 252858 290445 320790 387260 421430 505716 580890 632145 641580 716431 842860 1161780 1264290 1432862 2149293 2528580 2865724 3582155 4298586 7164310 8597172 10746465 14328620 21492930 42985860