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42114330 = 236553109
BaseRepresentation
bin1010000010100…
…1110100011010
32221020122000000
42200221310122
541240124310
64102353430
71020652206
oct240516432
987218000
1042114330
1121855135
121212b876
13895702b
145843b06
153a6d4c0
hex2829d1a

42114330 has 112 divisors (see below), whose sum is σ = 116863560. Its totient is φ = 10917504.

The previous prime is 42114323. The next prime is 42114361. The reversal of 42114330 is 3341124.

It can be written as a sum of positive squares in 4 ways, for example, as 39576681 + 2537649 = 6291^2 + 1593^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 386316 + ... + 386424.

Almost surely, 242114330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42114330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58431780).

42114330 is an abundant number, since it is smaller than the sum of its proper divisors (74749230).

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

42114330 is a wasteful number, since it uses less digits than its factorization.

42114330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42114330 is about 6489.5554547288. Note that the first 3 decimals coincide. The cubic root of 42114330 is about 347.9177867622.

Adding to 42114330 its reverse (3341124), we get a palindrome (45455454).

The spelling of 42114330 in words is "forty-two million, one hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 109 135 159 162 218 243 265 270 318 327 405 477 486 530 545 654 729 795 810 954 981 1090 1215 1431 1458 1590 1635 1962 2385 2430 2862 2943 3270 3645 4293 4770 4905 5777 5886 7155 7290 8586 8829 9810 11554 12879 14310 14715 17331 17658 21465 25758 26487 28885 29430 34662 38637 42930 44145 51993 52974 57770 64395 77274 79461 86655 88290 103986 128790 132435 155979 158922 173310 193185 259965 264870 311958 386370 397305 467937 519930 779895 794610 935874 1403811 1559790 2339685 2807622 4211433 4679370 7019055 8422866 14038110 21057165 42114330