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42542304 = 2537293759
BaseRepresentation
bin1010001001001…
…0010011100000
32222001101001220
42202102103200
541342323204
64115455040
71024414020
oct242222340
988041056
1042542304
1122017732
12122b7480
138a76a7c
145915a80
153b051d9
hex28924e0

42542304 has 192 divisors, whose sum is σ = 137894400. Its totient is φ = 11225088.

The previous prime is 42542303. The next prime is 42542329. The reversal of 42542304 is 40324524.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42542303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721027 + ... + 721085.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 242542304 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 42542304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

42542304 is an abundant number, since it is smaller than the sum of its proper divisors (95352096).

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

42542304 is a wasteful number, since it uses less digits than its factorization.

42542304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 42542304 is about 6522.4461668917. The cubic root of 42542304 is about 349.0923530164.

Adding to 42542304 its reverse (40324524), we get a palindrome (82866828).

The spelling of 42542304 in words is "forty-two million, five hundred forty-two thousand, three hundred four".