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42542712 = 2333892213
BaseRepresentation
bin1010001001001…
…0011001111000
32222001101122000
42202102121320
541342331322
64115501000
71024415142
oct242223170
988041560
1042542712
1122017a73
12122b7760
138a77004
145915c92
153b053ac
hex2892678

42542712 has 64 divisors (see below), whose sum is σ = 119556000. Its totient is φ = 14015232.

The previous prime is 42542701. The next prime is 42542713. The reversal of 42542712 is 21724524.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42542713) by changing a digit.

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, 18118 + ... + 20330.

Almost surely, 242542712 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 42542712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59778000).

42542712 is an abundant number, since it is smaller than the sum of its proper divisors (77013288).

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

42542712 is a wasteful number, since it uses less digits than its factorization.

42542712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2307 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 42542712 is about 6522.4774434259. The cubic root of 42542712 is about 349.0934689976.

The spelling of 42542712 in words is "forty-two million, five hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2213 2403 3204 4426 4806 6408 6639 8852 9612 13278 17704 19224 19917 26556 39834 53112 59751 79668 119502 159336 196957 239004 393914 478008 590871 787828 1181742 1575656 1772613 2363484 3545226 4726968 5317839 7090452 10635678 14180904 21271356 42542712