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42873705 = 3557712
BaseRepresentation
bin1010001110001…
…1001101101001
32222200012200000
42203203031221
541433424310
64130533213
71030264140
oct243431551
988605600
1042873705
1122223716
1212437209
138b61874
1459a0757
153b6d4c0
hex28e3369

42873705 has 72 divisors (see below), whose sum is σ = 89334336. Its totient is φ = 19323360.

The previous prime is 42873689. The next prime is 42873731. The reversal of 42873705 is 50737824.

42873705 is a `hidden beast` number, since 4 + 287 + 370 + 5 = 666.

42873705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42873705 - 24 = 42873689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42873705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 603820 + ... + 603890.

Almost surely, 242873705 is an apocalyptic number.

42873705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42873705 is an abundant number, since it is smaller than the sum of its proper divisors (46460631).

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

42873705 is an frugal number, since it uses more digits than its factorization.

42873705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 42873705 is about 6547.8015394482. The cubic root of 42873705 is about 349.9964761550.

The spelling of 42873705 in words is "forty-two million, eight hundred seventy-three thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 81 105 135 189 213 243 315 355 405 497 567 639 945 1065 1215 1491 1701 1917 2485 2835 3195 4473 5041 5751 7455 8505 9585 13419 15123 17253 22365 25205 28755 35287 40257 45369 67095 75615 86265 105861 120771 136107 176435 201285 226845 317583 408321 529305 603855 680535 952749 1224963 1587915 2041605 2858247 4763745 6124815 8574741 14291235 42873705