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42805575 = 32521719231
BaseRepresentation
bin1010001101001…
…0100101000111
32222112202012200
42203102211013
541424234300
64125245543
71026561411
oct243224507
988482180
1042805575
112218750a
12124038b3
138b39857
1459839b1
153b58200
hex28d2947

42805575 has 108 divisors (see below), whose sum is σ = 88440768. Its totient is φ = 19699200.

The previous prime is 42805561. The next prime is 42805589. The reversal of 42805575 is 57550824.

It is a happy number.

42805575 is a `hidden beast` number, since 4 + 2 + 80 + 5 + 575 = 666.

It is an interprime number because it is at equal distance from previous prime (42805561) and next prime (42805589).

It is not a de Polignac number, because 42805575 - 27 = 42805447 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1380810 + ... + 1380840.

It is an arithmetic number, because the mean of its divisors is an integer number (818896).

Almost surely, 242805575 is an apocalyptic number.

42805575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42805575 is an abundant number, since it is smaller than the sum of its proper divisors (45635193).

42805575 is a wasteful number, since it uses less digits than its factorization.

42805575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 42805575 is about 6542.5969614519. The cubic root of 42805575 is about 349.8109863790.

The spelling of 42805575 in words is "forty-two million, eight hundred five thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 17 19 25 31 45 51 57 75 85 93 95 153 155 171 225 255 279 285 323 361 425 465 475 527 589 765 775 855 969 1083 1275 1395 1425 1581 1615 1767 1805 2325 2635 2907 2945 3249 3825 4275 4743 4845 5301 5415 6137 6975 7905 8075 8835 9025 10013 11191 13175 14535 14725 16245 18411 23715 24225 26505 27075 30039 30685 33573 39525 44175 50065 55233 55955 72675 81225 90117 92055 100719 118575 132525 150195 153425 167865 190247 250325 276165 279775 450585 460275 503595 570741 750975 839325 951235 1380825 1712223 2252925 2517975 2853705 4756175 8561115 14268525 42805575