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42542040 = 2335536689
BaseRepresentation
bin1010001001001…
…0001111011000
32222001100201010
42202102033120
541342321130
64115453520
71024413162
oct242221730
988040633
1042542040
1122017512
12122b72a0
138a76908
145915932
153b050b0
hex28923d8

42542040 has 64 divisors (see below), whose sum is σ = 130053600. Its totient is φ = 11128832.

The previous prime is 42542011. The next prime is 42542047. The reversal of 42542040 is 4024524.

It is a junction number, because it is equal to n+sod(n) for n = 42541998 and 42542016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42542047) 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, 3016 + ... + 9704.

Almost surely, 242542040 is an apocalyptic number.

42542040 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 42542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65026800).

42542040 is an abundant number, since it is smaller than the sum of its proper divisors (87511560).

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

42542040 is a wasteful number, since it uses less digits than its factorization.

42542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42542040 is about 6522.4259290543. The cubic root of 42542040 is about 349.0916309072.

Adding to 42542040 its reverse (4024524), we get a palindrome (46566564).

The spelling of 42542040 in words is "forty-two million, five hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 6689 13378 20067 26756 33445 40134 53512 66890 80268 100335 133780 160536 200670 267560 354517 401340 709034 802680 1063551 1418068 1772585 2127102 2836136 3545170 4254204 5317755 7090340 8508408 10635510 14180680 21271020 42542040