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42128142 = 2372178429
BaseRepresentation
bin1010000010110…
…1001100001110
32221021022221120
42200231030032
541241100032
64102541410
71021040400
oct240551416
987238846
1042128142
1121864551
1212137866
1389603c4
145848b70
153a7262c
hex282d30e

42128142 has 48 divisors (see below), whose sum is σ = 103790160. Its totient is φ = 11327232.

The previous prime is 42128131. The next prime is 42128161. The reversal of 42128142 is 24182124.

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 23 ways as a sum of consecutive naturals, for example, 784 + ... + 9212.

It is an arithmetic number, because the mean of its divisors is an integer number (2162295).

Almost surely, 242128142 is an apocalyptic number.

42128142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42128142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51895080).

42128142 is an abundant number, since it is smaller than the sum of its proper divisors (61662018).

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

42128142 is a wasteful number, since it uses less digits than its factorization.

42128142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8465 (or 8458 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 42128142 is about 6490.6195389963. The cubic root of 42128142 is about 347.9558174850.

The spelling of 42128142 in words is "forty-two million, one hundred twenty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4998 8429 16858 25287 50574 59003 118006 143293 177009 286586 354018 413021 429879 826042 859758 1003051 1239063 2006102 2478126 3009153 6018306 7021357 14042714 21064071 42128142