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42887985 = 3572234359
BaseRepresentation
bin1010001110011…
…0101100110001
32222200221020220
42203212230301
541434403420
64131123253
71030353600
oct243465461
988627226
1042887985
1122233418
1212443529
138b6820a
1459a5a37
153b72840
hex28e6b31

42887985 has 96 divisors (see below), whose sum is σ = 86676480. Its totient is φ = 18006912.

The previous prime is 42887983. The next prime is 42887989. The reversal of 42887985 is 58978824.

It is a happy number.

42887985 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 42887985 - 21 = 42887983 is a prime.

Its product of digits (1290240) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42887983) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 726886 + ... + 726944.

It is an arithmetic number, because the mean of its divisors is an integer number (902880).

Almost surely, 242887985 is an apocalyptic number.

It is an amenable number.

42887985 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

42887985 is a wasteful number, since it uses less digits than its factorization.

42887985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 42887985 is about 6548.8918909996. The cubic root of 42887985 is about 350.0353297669.

The spelling of 42887985 in words is "forty-two million, eight hundred eighty-seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 21 23 35 43 49 59 69 105 115 129 147 161 177 215 245 295 301 345 413 483 645 735 805 885 903 989 1127 1239 1357 1505 2065 2107 2415 2537 2891 2967 3381 4071 4515 4945 5635 6195 6321 6785 6923 7611 8673 9499 10535 12685 14455 14835 16905 17759 20355 20769 28497 31605 34615 38055 43365 47495 48461 53277 58351 66493 88795 103845 124313 142485 145383 175053 199479 242305 266385 291755 332465 372939 408457 621565 726915 875265 997395 1225371 1864695 2042285 2859199 6126855 8577597 14295995 42887985