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42542052 = 2237677559
BaseRepresentation
bin1010001001001…
…0001111100100
32222001100201120
42202102033210
541342321202
64115453540
71024413210
oct242221744
988040646
1042542052
1122017523
12122b72b0
138a76917
145915940
153b050bc
hex28923e4

42542052 has 48 divisors (see below), whose sum is σ = 115153920. Its totient is φ = 11971872.

The previous prime is 42542047. The next prime is 42542063. The reversal of 42542052 is 25024524.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 1849 + ... + 9407.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 242542052 is an apocalyptic number.

42542052 is a gapful number since it is divisible by the number (42) 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 42542052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576960).

42542052 is an abundant number, since it is smaller than the sum of its proper divisors (72611868).

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

42542052 is a wasteful number, since it uses less digits than its factorization.

42542052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42542052 is about 6522.4268489574. The cubic root of 42542052 is about 349.0916637304.

Adding to 42542052 its reverse (25024524), we get a palindrome (67566576).

The spelling of 42542052 in words is "forty-two million, five hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 7559 15118 22677 30236 45354 52913 90708 105826 158739 211652 317478 506453 634956 1012906 1519359 2025812 3038718 3545171 6077436 7090342 10635513 14180684 21271026 42542052