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42805160 = 2352936901
BaseRepresentation
bin1010001101001…
…0011110101000
32222112201122022
42203102132220
541424231120
64125244012
71026560246
oct243223650
988481568
1042805160
1122187172
1212403608
138b395c8
145983796
153b58025
hex28d27a8

42805160 has 32 divisors (see below), whose sum is σ = 99635400. Its totient is φ = 16531200.

The previous prime is 42805151. The next prime is 42805181. The reversal of 42805160 is 6150824.

It can be written as a sum of positive squares in 4 ways, for example, as 21883684 + 20921476 = 4678^2 + 4574^2 .

It is a super-3 number, since 3×428051603 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17291 + ... + 19610.

Almost surely, 242805160 is an apocalyptic number.

42805160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42805160 is an abundant number, since it is smaller than the sum of its proper divisors (56830240).

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

42805160 is a wasteful number, since it uses less digits than its factorization.

42805160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36941 (or 36937 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 42805160 is about 6542.5652461401. The cubic root of 42805160 is about 349.8098559030.

Adding to 42805160 its reverse (6150824), we get a palindrome (48955984).

The spelling of 42805160 in words is "forty-two million, eight hundred five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 36901 73802 147604 184505 295208 369010 738020 1070129 1476040 2140258 4280516 5350645 8561032 10701290 21402580 42805160