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42548130 = 23252332029
BaseRepresentation
bin1010001001001…
…1101110100010
32222001200001200
42202103232202
541343020010
64115542030
71024440012
oct242235642
988050050
1042548130
1122021049
12122ba916
138a79611
145917c42
153b06cc0
hex2893ba2

42548130 has 48 divisors (see below), whose sum is σ = 111154680. Its totient is φ = 11291904.

The previous prime is 42548117. The next prime is 42548147. The reversal of 42548130 is 3184524.

It can be written as a sum of positive squares in 4 ways, for example, as 39425841 + 3122289 = 6279^2 + 1767^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42548094 and 42548103.

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, 19956 + ... + 21984.

Almost surely, 242548130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42548130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55577340).

42548130 is an abundant number, since it is smaller than the sum of its proper divisors (68606550).

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

42548130 is a wasteful number, since it uses less digits than its factorization.

42548130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42548130 is about 6522.8927631841. The cubic root of 42548130 is about 349.1082878940.

The spelling of 42548130 in words is "forty-two million, five hundred forty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 233 466 699 1165 1398 2029 2097 2330 3495 4058 4194 6087 6990 10145 10485 12174 18261 20290 20970 30435 36522 60870 91305 182610 472757 945514 1418271 2363785 2836542 4254813 4727570 7091355 8509626 14182710 21274065 42548130