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42129955 = 572612819
BaseRepresentation
bin1010000010110…
…1101000100011
32221021102102201
42200231220203
541241124310
64102554031
71021045600
oct240555043
987242381
1042129955
112186594a
1212138917
13896118a
1458496a7
153a72e3a
hex282da23

42129955 has 24 divisors (see below), whose sum is σ = 59795280. Its totient is φ = 28405440.

The previous prime is 42129949. The next prime is 42129959. The reversal of 42129955 is 55992124.

It is not a de Polignac number, because 42129955 - 221 = 40032803 is a prime.

It is a super-3 number, since 3×421299553 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42129959) 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 23 ways as a sum of consecutive naturals, for example, 13536 + ... + 16354.

It is an arithmetic number, because the mean of its divisors is an integer number (2491470).

Almost surely, 242129955 is an apocalyptic number.

42129955 is a deficient number, since it is larger than the sum of its proper divisors (17665325).

42129955 is a wasteful number, since it uses less digits than its factorization.

42129955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2892 counting only the distinct ones).

The product of its digits is 32400, while the sum is 37.

The square root of 42129955 is about 6490.7592005866. The cubic root of 42129955 is about 347.9608088820.

The spelling of 42129955 in words is "forty-two million, one hundred twenty-nine thousand, nine hundred fifty-five".

Divisors: 1 5 7 35 49 61 245 305 427 2135 2819 2989 14095 14945 19733 98665 138131 171959 690655 859795 1203713 6018565 8425991 42129955