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42020244 = 2232734183
BaseRepresentation
bin1010000001001…
…0110110010100
32221001211221100
42200102312110
541224121434
64100350100
71020111000
oct240226624
987054840
1042020244
11217a0482
12120a5330
138923266
14581b700
153a50699
hex2812d94

42020244 has 144 divisors (see below), whose sum is σ = 128419200. Its totient is φ = 11571840.

The previous prime is 42020233. The next prime is 42020249. The reversal of 42020244 is 44202024.

42020244 is a `hidden beast` number, since 420 + 2 + 0 + 244 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42020249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506227 + ... + 506309.

It is an arithmetic number, because the mean of its divisors is an integer number (891800).

Almost surely, 242020244 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 42020244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64209600).

42020244 is an abundant number, since it is smaller than the sum of its proper divisors (86398956).

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

42020244 is a wasteful number, since it uses less digits than its factorization.

42020244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42020244 is about 6482.3023687576. The cubic root of 42020244 is about 347.6585036795.

Adding to 42020244 its reverse (44202024), we get a palindrome (86222268).

The spelling of 42020244 in words is "forty-two million, twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 83 84 98 123 126 147 164 166 196 246 249 252 287 294 332 343 369 441 492 498 574 581 588 686 738 747 861 882 996 1029 1148 1162 1372 1476 1494 1722 1743 1764 2009 2058 2324 2583 2988 3087 3403 3444 3486 4018 4067 4116 5166 5229 6027 6174 6806 6972 8036 8134 10209 10332 10458 12054 12201 12348 13612 14063 16268 18081 20418 20916 23821 24108 24402 28126 28469 30627 36162 36603 40836 42189 47642 48804 56252 56938 61254 71463 72324 73206 84378 85407 95284 113876 122508 126567 142926 146412 166747 168756 170814 214389 253134 256221 285852 333494 341628 428778 500241 506268 512442 666988 857556 1000482 1024884 1167229 1500723 2000964 2334458 3001446 3501687 4668916 6002892 7003374 10505061 14006748 21010122 42020244