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42580170 = 2325736481
BaseRepresentation
bin1010001001101…
…1100011001010
32222010022000100
42202123203022
541400031140
64120350230
71024632303
oct242334312
988108010
1042580170
1122043126
1212315376
138a8b089
1459257aa
153b11530
hex289b8ca

42580170 has 48 divisors (see below), whose sum is σ = 112242312. Its totient is φ = 11197440.

The previous prime is 42580141. The next prime is 42580183. The reversal of 42580170 is 7108524.

It can be written as a sum of positive squares in 4 ways, for example, as 41641209 + 938961 = 6453^2 + 969^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3330 + ... + 9810.

Almost surely, 242580170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42580170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56121156).

42580170 is an abundant number, since it is smaller than the sum of its proper divisors (69662142).

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

42580170 is a wasteful number, since it uses less digits than its factorization.

42580170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6567 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 42580170 is about 6525.3482665678. The cubic root of 42580170 is about 349.1958955285.

Adding to 42580170 its reverse (7108524), we get a palindrome (49688694).

The spelling of 42580170 in words is "forty-two million, five hundred eighty thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6481 6570 12962 19443 32405 38886 58329 64810 97215 116658 194430 291645 473113 583290 946226 1419339 2365565 2838678 4258017 4731130 7096695 8516034 14193390 21290085 42580170