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42074127 = 338917509
BaseRepresentation
bin1010000010000…
…0000000001111
32221011120212000
42200200000033
541232333002
64101443343
71020424044
oct240400017
987146760
1042074127
1121827a07
1212110553
138941944
1458331cb
153a6161c
hex282000f

42074127 has 16 divisors (see below), whose sum is σ = 63036000. Its totient is φ = 27732672.

The previous prime is 42074117. The next prime is 42074171. The reversal of 42074127 is 72147024.

It is a happy number.

It is not a de Polignac number, because 42074127 - 26 = 42074063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42074127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42074117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6352 + ... + 11157.

It is an arithmetic number, because the mean of its divisors is an integer number (3939750).

Almost surely, 242074127 is an apocalyptic number.

42074127 is a deficient number, since it is larger than the sum of its proper divisors (20961873).

42074127 is a wasteful number, since it uses less digits than its factorization.

42074127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607 (or 17601 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 42074127 is about 6486.4571994271. The cubic root of 42074127 is about 347.8070422564.

It can be divided in two parts, 420 and 74127, that added together give a palindrome (74547).

The spelling of 42074127 in words is "forty-two million, seventy-four thousand, one hundred twenty-seven".

Divisors: 1 3 9 27 89 267 801 2403 17509 52527 157581 472743 1558301 4674903 14024709 42074127