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42127541 = 194121319
BaseRepresentation
bin1010000010110…
…1000010110101
32221021022010022
42200231002311
541241040131
64102534525
71021035551
oct240550265
987238108
1042127541
1121864055
1212137445
138960051
145848861
153a7237b
hex282d0b5

42127541 has 12 divisors (see below), whose sum is σ = 45487200. Its totient is φ = 38907360.

The previous prime is 42127531. The next prime is 42127567. The reversal of 42127541 is 14572124.

It is not a de Polignac number, because 42127541 - 210 = 42126517 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42127541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42127511) 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 11 ways as a sum of consecutive naturals, for example, 31280 + ... + 32598.

It is an arithmetic number, because the mean of its divisors is an integer number (3790600).

Almost surely, 242127541 is an apocalyptic number.

42127541 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42127541 is a deficient number, since it is larger than the sum of its proper divisors (3359659).

42127541 is a wasteful number, since it uses less digits than its factorization.

42127541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1379 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 42127541 is about 6490.5732412476. The cubic root of 42127541 is about 347.9541628314.

Adding to 42127541 its reverse (14572124), we get a palindrome (56699665).

The spelling of 42127541 in words is "forty-two million, one hundred twenty-seven thousand, five hundred forty-one".

Divisors: 1 19 41 779 1319 1681 25061 31939 54079 1027501 2217239 42127541