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42129417 = 3112176827
BaseRepresentation
bin1010000010110…
…1100000001001
32221021101200210
42200231200021
541241120132
64102551333
71021044201
oct240554011
987241623
1042129417
1121865500
1212138549
138960b65
145849401
153a72bcc
hex282d809

42129417 has 24 divisors (see below), whose sum is σ = 65384928. Its totient is φ = 24027520.

The previous prime is 42129413. The next prime is 42129419. The reversal of 42129417 is 71492124.

It is not a de Polignac number, because 42129417 - 22 = 42129413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42129413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2758 + ... + 9584.

It is an arithmetic number, because the mean of its divisors is an integer number (2724372).

Almost surely, 242129417 is an apocalyptic number.

It is an amenable number.

42129417 is a deficient number, since it is larger than the sum of its proper divisors (23255511).

42129417 is a wasteful number, since it uses less digits than its factorization.

42129417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869 (or 6858 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 42129417 is about 6490.7177569203. The cubic root of 42129417 is about 347.9593277212.

The spelling of 42129417 in words is "forty-two million, one hundred twenty-nine thousand, four hundred seventeen".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 6827 20481 75097 116059 225291 348177 826067 1276649 2478201 3829947 14043139 42129417