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42665142 = 23135973127
BaseRepresentation
bin1010001011000…
…0010010110110
32222021121120110
42202300102312
541410241032
64122243450
71025435112
oct242602266
988247513
1042665142
11220a0a53
1212356586
138aba960
145948742
153b2b7cc
hex28b04b6

42665142 has 64 divisors (see below), whose sum is σ = 95477760. Its totient is φ = 12628224.

The previous prime is 42665141. The next prime is 42665171. The reversal of 42665142 is 24156624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42665141) 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 31 ways as a sum of consecutive naturals, for example, 335883 + ... + 336009.

It is an arithmetic number, because the mean of its divisors is an integer number (1491840).

Almost surely, 242665142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42665142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47738880).

42665142 is an abundant number, since it is smaller than the sum of its proper divisors (52812618).

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

42665142 is a wasteful number, since it uses less digits than its factorization.

42665142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277.

The product of its digits is 11520, while the sum is 30.

The square root of 42665142 is about 6531.8559383991. The cubic root of 42665142 is about 349.4280235980.

The spelling of 42665142 in words is "forty-two million, six hundred sixty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 59 73 78 118 127 146 177 219 254 354 381 438 762 767 949 1534 1651 1898 2301 2847 3302 4307 4602 4953 5694 7493 8614 9271 9906 12921 14986 18542 22479 25842 27813 44958 55626 55991 97409 111982 120523 167973 194818 241046 292227 335946 361569 546989 584454 723138 1093978 1640967 3281934 7110857 14221714 21332571 42665142