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42135541 = 723127739
BaseRepresentation
bin1010000010111…
…0111111110101
32221021201002121
42200232333311
541241314131
64103035541
71021101100
oct240567765
987251077
1042135541
112186a068
121213bbb1
138963896
14584b737
153a74911
hex282eff5

42135541 has 12 divisors (see below), whose sum is σ = 50597760. Its totient is φ = 34949880.

The previous prime is 42135523. The next prime is 42135551. The reversal of 42135541 is 14553124.

It is a happy number.

It is not a de Polignac number, because 42135541 - 215 = 42102773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12351 + ... + 15388.

It is an arithmetic number, because the mean of its divisors is an integer number (4216480).

Almost surely, 242135541 is an apocalyptic number.

It is an amenable number.

42135541 is a deficient number, since it is larger than the sum of its proper divisors (8462219).

42135541 is a wasteful number, since it uses less digits than its factorization.

42135541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27784 (or 27777 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 42135541 is about 6491.1894903785. The cubic root of 42135541 is about 347.9761868807.

Adding to 42135541 its reverse (14553124), we get a palindrome (56688665).

The spelling of 42135541 in words is "forty-two million, one hundred thirty-five thousand, five hundred forty-one".

Divisors: 1 7 31 49 217 1519 27739 194173 859909 1359211 6019363 42135541