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42542955 = 3357133463
BaseRepresentation
bin1010001001001…
…0011101101011
32222001101222000
42202102131223
541342333310
64115502043
71024415640
oct242223553
988041860
1042542955
1122018174
12122b7923
138a77160
145915dc7
153b054c0
hex289276b

42542955 has 64 divisors (see below), whose sum is σ = 93112320. Its totient is φ = 17947008.

The previous prime is 42542947. The next prime is 42542963. The reversal of 42542955 is 55924524.

42542955 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42542947) and next prime (42542963).

It is not a de Polignac number, because 42542955 - 23 = 42542947 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10554 + ... + 14016.

It is an arithmetic number, because the mean of its divisors is an integer number (1454880).

Almost surely, 242542955 is an apocalyptic number.

42542955 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42542955 is an abundant number, since it is smaller than the sum of its proper divisors (50569365).

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

42542955 is a wasteful number, since it uses less digits than its factorization.

42542955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3491 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 42542955 is about 6522.4960712905. The cubic root of 42542955 is about 349.0941336594.

The spelling of 42542955 in words is "forty-two million, five hundred forty-two thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 3463 4095 10389 12285 17315 24241 31167 45019 51945 72723 93501 121205 135057 155835 218169 225095 315133 363615 405171 467505 654507 675285 945399 1090845 1215513 1575665 2025855 2836197 3272535 4726995 6077565 8508591 14180985 42542955