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42569730 = 232574197
BaseRepresentation
bin1010001001100…
…1000000000010
32222002202200200
42202121000002
541344212410
64120230030
71024560000
oct242310002
988082620
1042569730
11220362a5
121230b316
138a863b8
145921a70
153b0d3c0
hex2899002

42569730 has 120 divisors (see below), whose sum is σ = 129775932. Its totient is φ = 9680832.

The previous prime is 42569713. The next prime is 42569741. The reversal of 42569730 is 3796524.

It can be written as a sum of positive squares in 2 ways, for example, as 39955041 + 2614689 = 6321^2 + 1617^2 .

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 59 ways as a sum of consecutive naturals, for example, 215992 + ... + 216188.

Almost surely, 242569730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42569730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64887966).

42569730 is an abundant number, since it is smaller than the sum of its proper divisors (87206202).

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

42569730 is a wasteful number, since it uses less digits than its factorization.

42569730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42569730 is about 6524.5482602246. The cubic root of 42569730 is about 349.1673540491.

The spelling of 42569730 in words is "forty-two million, five hundred sixty-nine thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 197 210 245 294 315 343 394 441 490 591 630 686 735 882 985 1029 1182 1379 1470 1715 1773 1970 2058 2205 2401 2758 2955 3087 3430 3546 4137 4410 4802 5145 5910 6174 6895 7203 8274 8865 9653 10290 12005 12411 13790 14406 15435 17730 19306 20685 21609 24010 24822 28959 30870 36015 41370 43218 48265 57918 62055 67571 72030 86877 96530 108045 124110 135142 144795 173754 202713 216090 289590 337855 405426 434385 472997 608139 675710 868770 945994 1013565 1216278 1418991 2027130 2364985 2837982 3040695 4256973 4729970 6081390 7094955 8513946 14189910 21284865 42569730