Search a number
-
+
42043860 = 2235541211
BaseRepresentation
bin1010000001100…
…0100111010100
32221010001100000
42200120213110
541230400420
64101051300
71020236565
oct240304724
987101300
1042043860
11218071a1
12120b6b30
138930c31
14582616c
153a57690
hex28189d4

42043860 has 144 divisors (see below), whose sum is σ = 136124352. Its totient is φ = 10886400.

The previous prime is 42043847. The next prime is 42043871. The reversal of 42043860 is 6834024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199155 + ... + 199365.

It is an arithmetic number, because the mean of its divisors is an integer number (945308).

Almost surely, 242043860 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 42043860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68062176).

42043860 is an abundant number, since it is smaller than the sum of its proper divisors (94080492).

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

42043860 is a wasteful number, since it uses less digits than its factorization.

42043860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42043860 is about 6484.1236879011. The cubic root of 42043860 is about 347.7236212262.

Adding to 42043860 its reverse (6834024), we get a palindrome (48877884).

The spelling of 42043860 in words is "forty-two million, forty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 211 243 246 270 324 369 405 410 422 486 492 540 615 633 738 810 820 844 972 1055 1107 1215 1230 1266 1476 1620 1845 1899 2110 2214 2430 2460 2532 3165 3321 3690 3798 4220 4428 4860 5535 5697 6330 6642 7380 7596 8651 9495 9963 11070 11394 12660 13284 16605 17091 17302 18990 19926 22140 22788 25953 28485 33210 34182 34604 37980 39852 43255 49815 51273 51906 56970 66420 68364 77859 85455 86510 99630 102546 103812 113940 129765 155718 170910 173020 199260 205092 233577 256365 259530 311436 341820 389295 467154 512730 519060 700731 778590 934308 1025460 1167885 1401462 1557180 2102193 2335770 2802924 3503655 4204386 4671540 7007310 8408772 10510965 14014620 21021930 42043860