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42026220 = 22325298397
BaseRepresentation
bin1010000001010…
…0010011101100
32221002011010200
42200110103230
541224314340
64100433500
71020134265
oct240242354
987064120
1042026220
11217a4a15
12120a8890
138925bb2
14581d96c
153a52330
hex28144ec

42026220 has 144 divisors (see below), whose sum is σ = 134840160. Its totient is φ = 10579968.

The previous prime is 42026167. The next prime is 42026251. The reversal of 42026220 is 2262024.

It is a happy number.

42026220 is a `hidden beast` number, since 42 + 0 + 2 + 622 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42026193 and 42026202.

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, 433212 + ... + 433308.

It is an arithmetic number, because the mean of its divisors is an integer number (936390).

Almost surely, 242026220 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 42026220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67420080).

42026220 is an abundant number, since it is smaller than the sum of its proper divisors (92813940).

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

42026220 is a wasteful number, since it uses less digits than its factorization.

42026220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42026220 is about 6482.7632997048. The cubic root of 42026220 is about 347.6749839006.

Adding to 42026220 its reverse (2262024), we get a palindrome (44288244).

The spelling of 42026220 in words is "forty-two million, twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 83 87 90 97 116 145 166 174 180 194 249 261 290 291 332 348 388 415 435 485 498 522 580 582 747 830 870 873 970 996 1044 1164 1245 1305 1455 1494 1660 1740 1746 1940 2407 2490 2610 2813 2910 2988 3492 3735 4365 4814 4980 5220 5626 5820 7221 7470 8051 8439 8730 9628 11252 12035 14065 14442 14940 16102 16878 17460 21663 24070 24153 25317 28130 28884 32204 33756 36105 40255 42195 43326 48140 48306 50634 56260 72210 72459 80510 84390 86652 96612 101268 108315 120765 126585 144420 144918 161020 168780 216630 233479 241530 253170 289836 362295 433260 466958 483060 506340 700437 724590 933916 1167395 1400874 1449180 2101311 2334790 2801748 3502185 4202622 4669580 7004370 8405244 10506555 14008740 21013110 42026220