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42121541 = 71147103113
BaseRepresentation
bin1010000010101…
…1100101000101
32221020222220002
42200223211011
541240342131
64102451045
71021012220
oct240534505
987228802
1042121541
112185a5a0
1212133a85
13895a3b7
1458465b7
153a706cb
hex282b945

42121541 has 32 divisors (see below), whose sum is σ = 54632448. Its totient is φ = 31530240.

The previous prime is 42121501. The next prime is 42121549. The reversal of 42121541 is 14512124.

It is a happy number.

It is not a de Polignac number, because 42121541 - 26 = 42121477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121549) 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, 372701 + ... + 372813.

It is an arithmetic number, because the mean of its divisors is an integer number (1707264).

Almost surely, 242121541 is an apocalyptic number.

It is an amenable number.

42121541 is a deficient number, since it is larger than the sum of its proper divisors (12510907).

42121541 is a wasteful number, since it uses less digits than its factorization.

42121541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281.

The product of its digits is 320, while the sum is 20.

The square root of 42121541 is about 6490.1110159996. Note that the first 3 decimals coincide. The cubic root of 42121541 is about 347.9376429646.

Adding to 42121541 its reverse (14512124), we get a palindrome (56633665).

The spelling of 42121541 in words is "forty-two million, one hundred twenty-one thousand, five hundred forty-one".

Divisors: 1 7 11 47 77 103 113 329 517 721 791 1133 1243 3619 4841 5311 7931 8701 11639 33887 37177 53251 58421 81473 128029 372757 408947 547033 896203 3829231 6017363 42121541