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42068565 = 3457111971
BaseRepresentation
bin1010000001111…
…0101001010101
32221011022020000
42200132221111
541232143230
64101401513
71020401610
oct240365125
987138200
1042068565
1121823810
1212109299
13893c256
145831177
153a5eb60
hex281ea55

42068565 has 160 divisors (see below), whose sum is σ = 100362240. Its totient is φ = 16329600.

The previous prime is 42068561. The next prime is 42068567. The reversal of 42068565 is 56586024.

It is not a de Polignac number, because 42068565 - 22 = 42068561 is a prime.

It is a super-2 number, since 2×420685652 = 3539528322318450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42068561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 592480 + ... + 592550.

It is an arithmetic number, because the mean of its divisors is an integer number (627264).

Almost surely, 242068565 is an apocalyptic number.

42068565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42068565 is an abundant number, since it is smaller than the sum of its proper divisors (58293675).

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

42068565 is a wasteful number, since it uses less digits than its factorization.

42068565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 42068565 is about 6486.0284458211. The cubic root of 42068565 is about 347.7917154340.

The spelling of 42068565 in words is "forty-two million, sixty-eight thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 19 21 27 33 35 45 55 57 63 71 77 81 95 99 105 133 135 165 171 189 209 213 231 285 297 315 355 385 399 405 495 497 513 567 627 639 665 693 781 855 891 945 1045 1065 1155 1197 1349 1463 1485 1491 1539 1881 1917 1995 2079 2343 2485 2565 2835 3135 3195 3465 3591 3905 4047 4389 4455 4473 5467 5643 5751 5985 6237 6745 7029 7315 7455 7695 9405 9443 9585 10395 10773 11715 12141 13167 13419 14839 16401 16929 17955 20235 21087 21945 22365 27335 28215 28329 28755 31185 35145 36423 39501 40257 44517 47215 49203 53865 60705 63261 65835 67095 74195 82005 84645 84987 103873 105435 109269 118503 133551 141645 147609 182115 197505 201285 222585 246015 254961 311619 316305 400653 424935 442827 519365 546345 592515 667755 738045 764883 934857 1201959 1274805 1558095 2003265 2214135 2804571 3824415 4674285 6009795 8413713 14022855 42068565