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42005142 = 234383677
BaseRepresentation
bin1010000000111…
…1001010010110
32221001002020000
42200033022112
541223131032
64100152130
71020015654
oct240171226
987032200
1042005142
11217900a3
1212098646
13891941a
145815dd4
153a4ae7c
hex280f296

42005142 has 40 divisors (see below), whose sum is σ = 94507776. Its totient is φ = 13944528.

The previous prime is 42005081. The next prime is 42005167. The reversal of 42005142 is 24150024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 61708 + ... + 62384.

Almost surely, 242005142 is an apocalyptic number.

42005142 is an abundant number, since it is smaller than the sum of its proper divisors (52502634).

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

42005142 is a wasteful number, since it uses less digits than its factorization.

42005142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42005142 is about 6481.1374001791. The cubic root of 42005142 is about 347.6168494090.

Adding to 42005142 its reverse (24150024), we get a palindrome (66155166).

The spelling of 42005142 in words is "forty-two million, five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 383 677 766 1149 1354 2031 2298 3447 4062 6093 6894 10341 12186 18279 20682 31023 36558 54837 62046 109674 259291 518582 777873 1555746 2333619 4667238 7000857 14001714 21002571 42005142