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42981066 = 232172331197
BaseRepresentation
bin1010001111110…
…1011011001010
32222212122221100
42203331123022
542000343231
64133122230
71031222142
oct243753312
988778840
1042981066
1122297347
1212489376
138b9b6ab
1459cb922
153b901e6
hex28fd6ca

42981066 has 96 divisors (see below), whose sum is σ = 106748928. Its totient is φ = 12418560.

The previous prime is 42981061. The next prime is 42981073. The reversal of 42981066 is 66018924.

It is a self number, because there is not a number n which added to its sum of digits gives 42981066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42981061) 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, 218080 + ... + 218276.

It is an arithmetic number, because the mean of its divisors is an integer number (1111968).

Almost surely, 242981066 is an apocalyptic number.

42981066 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42981066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53374464).

42981066 is an abundant number, since it is smaller than the sum of its proper divisors (63767862).

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

42981066 is a wasteful number, since it uses less digits than its factorization.

42981066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42981066 is about 6555.9946613767. The cubic root of 42981066 is about 350.2883772965.

The spelling of 42981066 in words is "forty-two million, nine hundred eighty-one thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 23 31 34 46 51 62 69 93 102 138 153 186 197 207 279 306 391 394 414 527 558 591 713 782 1054 1173 1182 1426 1581 1773 2139 2346 3162 3349 3519 3546 4278 4531 4743 6107 6417 6698 7038 9062 9486 10047 12121 12214 12834 13593 18321 20094 24242 27186 30141 36363 36642 40779 54963 60282 72726 77027 81558 103819 109089 109926 140461 154054 207638 218178 231081 280922 311457 421383 462162 622914 693243 842766 934371 1264149 1386486 1868742 2387837 2528298 4775674 7163511 14327022 21490533 42981066