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42638180 = 22513163993
BaseRepresentation
bin1010001010100…
…1101101100100
32222020020120212
42202221231210
541403410210
64121514552
71025263364
oct242515544
988206525
1042638180
1122082772
1212342a58
138aab5c0
14593c9a4
153b23805
hex28a9b64

42638180 has 24 divisors (see below), whose sum is σ = 96428472. Its totient is φ = 15743232.

The previous prime is 42638161. The next prime is 42638191. The reversal of 42638180 is 8183624.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 41654116 = 992^2 + 6454^2 .

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, 81737 + ... + 82256.

It is an arithmetic number, because the mean of its divisors is an integer number (4017853).

Almost surely, 242638180 is an apocalyptic number.

It is an amenable number.

42638180 is an abundant number, since it is smaller than the sum of its proper divisors (53790292).

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

42638180 is a wasteful number, since it uses less digits than its factorization.

42638180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164015 (or 164013 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 42638180 is about 6529.7917271533. The cubic root of 42638180 is about 349.3544017200.

The spelling of 42638180 in words is "forty-two million, six hundred thirty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 163993 327986 655972 819965 1639930 2131909 3279860 4263818 8527636 10659545 21319090 42638180