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42545160 = 23325716883
BaseRepresentation
bin1010001001001…
…1000000001000
32222001111222200
42202103000020
541342421120
64115520200
71024425240
oct242230010
988044880
1042545160
1122019899
12122b9060
138a78168
145916b20
153b05e90
hex2893008

42545160 has 96 divisors (see below), whose sum is σ = 158034240. Its totient is φ = 9724032.

The previous prime is 42545159. The next prime is 42545171. The reversal of 42545160 is 6154524.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5922 + ... + 10961.

It is an arithmetic number, because the mean of its divisors is an integer number (1646190).

Almost surely, 242545160 is an apocalyptic number.

42545160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42545160 is an abundant number, since it is smaller than the sum of its proper divisors (115489080).

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

42545160 is a wasteful number, since it uses less digits than its factorization.

42545160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16907 (or 16900 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42545160 is about 6522.6650994820. The cubic root of 42545160 is about 349.1001647345.

Adding to 42545160 its reverse (6154524), we get a palindrome (48699684).

The spelling of 42545160 in words is "forty-two million, five hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 16883 33766 50649 67532 84415 101298 118181 135064 151947 168830 202596 236362 253245 303894 337660 354543 405192 472724 506490 590905 607788 675320 709086 759735 945448 1012980 1063629 1181810 1215576 1418172 1519470 1772715 2025960 2127258 2363620 2836344 3038940 3545430 4254516 4727240 5318145 6077880 7090860 8509032 10636290 14181720 21272580 42545160