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42717150 = 23252771191
BaseRepresentation
bin1010001011110…
…0111111011110
32222101020220200
42202330333132
541413422100
64123324330
71026042540
oct242747736
988336820
1042717150
1122127033
12123806a6
138b08528
14595d690
153b3be00
hex28bcfde

42717150 has 144 divisors (see below), whose sum is σ = 133705728. Its totient is φ = 9576000.

The previous prime is 42717137. The next prime is 42717167. The reversal of 42717150 is 5171724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223555 + ... + 223745.

It is an arithmetic number, because the mean of its divisors is an integer number (928512).

Almost surely, 242717150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42717150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66852864).

42717150 is an abundant number, since it is smaller than the sum of its proper divisors (90988578).

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

42717150 is a wasteful number, since it uses less digits than its factorization.

42717150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 42717150 is about 6535.8358302516. The cubic root of 42717150 is about 349.5699479934.

Adding to 42717150 its reverse (5171724), we get a palindrome (47888874).

The spelling of 42717150 in words is "forty-two million, seven hundred seventeen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 71 75 90 105 126 142 150 175 191 210 213 225 315 350 355 382 426 450 497 525 573 630 639 710 955 994 1050 1065 1146 1278 1337 1491 1575 1719 1775 1910 2130 2485 2674 2865 2982 3150 3195 3438 3550 4011 4473 4775 4970 5325 5730 6390 6685 7455 8022 8595 8946 9550 10650 12033 12425 13370 13561 14325 14910 15975 17190 20055 22365 24066 24850 27122 28650 31950 33425 37275 40110 40683 42975 44730 60165 66850 67805 74550 81366 85950 94927 100275 111825 120330 122049 135610 189854 200550 203415 223650 244098 284781 300825 339025 406830 474635 569562 601650 610245 678050 854343 949270 1017075 1220490 1423905 1708686 2034150 2373175 2847810 3051225 4271715 4746350 6102450 7119525 8543430 14239050 21358575 42717150