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42645141 = 32721159149
BaseRepresentation
bin1010001010101…
…1011010010101
32222020121010200
42202223122111
541404121031
64122011113
71025322600
oct242533225
988217120
1042645141
1122087a20
1212346a99
138ab1816
145941337
153b258e6
hex28ab695

42645141 has 72 divisors (see below), whose sum is σ = 80028000. Its totient is φ = 21631680.

The previous prime is 42645137. The next prime is 42645173. The reversal of 42645141 is 14154624.

42645141 is a `hidden beast` number, since 4 + 2 + 645 + 14 + 1 = 666.

42645141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42645141 - 22 = 42645137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42645131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286135 + ... + 286283.

It is an arithmetic number, because the mean of its divisors is an integer number (1111500).

Almost surely, 242645141 is an apocalyptic number.

It is an amenable number.

42645141 is a deficient number, since it is larger than the sum of its proper divisors (37382859).

42645141 is a wasteful number, since it uses less digits than its factorization.

42645141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42645141 is about 6530.3247239322. The cubic root of 42645141 is about 349.3734122536.

Adding to 42645141 its reverse (14154624), we get a palindrome (56799765).

The spelling of 42645141 in words is "forty-two million, six hundred forty-five thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 33 49 59 63 77 99 147 149 177 231 413 441 447 531 539 649 693 1043 1239 1341 1617 1639 1947 2891 3129 3717 4543 4851 4917 5841 7301 8673 8791 9387 11473 13629 14751 21903 26019 26373 31801 34419 40887 61537 65709 79119 80311 95403 96701 103257 184611 240933 286209 290103 430759 553833 676907 722799 870309 1292277 2030721 3876831 4738349 6092163 14215047 42645141