Search a number
-
+
42026244 = 223132172353
BaseRepresentation
bin1010000001010…
…0010100000100
32221002011011120
42200110110010
541224314434
64100433540
71020134331
oct240242404
987064146
1042026244
11217a4a37
12120a88b0
138925c00
14581d988
153a52349
hex2814504

42026244 has 144 divisors (see below), whose sum is σ = 119532672. Its totient is φ = 11421696.

The previous prime is 42026167. The next prime is 42026251. The reversal of 42026244 is 44262024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792922 + ... + 792974.

It is an arithmetic number, because the mean of its divisors is an integer number (830088).

Almost surely, 242026244 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 42026244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59766336).

42026244 is an abundant number, since it is smaller than the sum of its proper divisors (77506428).

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

42026244 is a wasteful number, since it uses less digits than its factorization.

42026244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42026244 is about 6482.7651507671. The cubic root of 42026244 is about 347.6750500831.

Adding to 42026244 its reverse (44262024), we get a palindrome (86288268).

The spelling of 42026244 in words is "forty-two million, twenty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 53 68 69 78 92 102 106 138 156 159 169 204 212 221 276 299 318 338 391 442 507 598 636 663 676 689 782 884 897 901 1014 1173 1196 1219 1326 1378 1564 1794 1802 2028 2067 2346 2438 2652 2703 2756 2873 3588 3604 3657 3887 4134 4692 4876 5083 5406 5746 7314 7774 8268 8619 8957 10166 10812 11492 11661 11713 14628 15249 15548 15847 17238 17914 20332 20723 23322 23426 26871 30498 31694 34476 35139 35828 41446 46644 46852 47541 53742 60996 62169 63388 66079 70278 82892 95082 107484 124338 132158 140556 152269 190164 198237 206011 248676 264316 269399 304538 396474 412022 456807 538798 609076 618033 792948 808197 824044 913614 1077596 1236066 1616394 1827228 2472132 3232788 3502187 7004374 10506561 14008748 21013122 42026244