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42543000 = 23325329163
BaseRepresentation
bin1010001001001…
…0011110011000
32222001102000200
42202102132120
541342334000
64115502200
71024416033
oct242223630
988042020
1042543000
1122018205
12122b7960
138a77196
14591601a
153b05500
hex2892798

42543000 has 192 divisors, whose sum is σ = 149666400. Its totient is φ = 10886400.

The previous prime is 42542977. The next prime is 42543041. The reversal of 42543000 is 34524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 260919 + ... + 261081.

Almost surely, 242543000 is an apocalyptic number.

42543000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42543000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74833200).

42543000 is an abundant number, since it is smaller than the sum of its proper divisors (107123400).

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

42543000 is a wasteful number, since it uses less digits than its factorization.

42543000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42543000 is about 6522.4995208892. The cubic root of 42543000 is about 349.0942567446.

Adding to 42543000 its reverse (34524), we get a palindrome (42577524).

The spelling of 42543000 in words is "forty-two million, five hundred forty-three thousand".