Search a number
-
+
42542540 = 22531591163
BaseRepresentation
bin1010001001001…
…0010111001100
32222001101101122
42202102113030
541342330130
64115500112
71024414505
oct242222714
988041348
1042542540
1122017927
12122b7638
138a76c01
145915bac
153b052e5
hex28925cc

42542540 has 48 divisors (see below), whose sum is σ = 93864960. Its totient is φ = 16175040.

The previous prime is 42542531. The next prime is 42542569. The reversal of 42542540 is 4524524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35999 + ... + 37161.

It is an arithmetic number, because the mean of its divisors is an integer number (1955520).

Almost surely, 242542540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42542540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46932480).

42542540 is an abundant number, since it is smaller than the sum of its proper divisors (51322420).

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

42542540 is a wasteful number, since it uses less digits than its factorization.

42542540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 42542540 is about 6522.4642582386. The cubic root of 42542540 is about 349.0929985358.

The spelling of 42542540 in words is "forty-two million, five hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1163 1180 1829 2326 3658 4652 5815 7316 9145 11630 18290 23260 36053 36580 68617 72106 137234 144212 180265 274468 343085 360530 686170 721060 1372340 2127127 4254254 8508508 10635635 21271270 42542540