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42064341 = 3111797773
BaseRepresentation
bin1010000001110…
…1100111010101
32221011002102120
42200131213111
541232024331
64101330153
71020353364
oct240354725
987132376
1042064341
1121820620
1212106959
13893a357
14582d7db
153a5d796
hex281d9d5

42064341 has 32 divisors (see below), whose sum is σ = 65536128. Its totient is φ = 23715840.

The previous prime is 42064331. The next prime is 42064357. The reversal of 42064341 is 14346024.

42064341 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 42064341 - 27 = 42064213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42064331) 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 31 ways as a sum of consecutive naturals, for example, 54031 + ... + 54803.

It is an arithmetic number, because the mean of its divisors is an integer number (2048004).

Almost surely, 242064341 is an apocalyptic number.

It is an amenable number.

42064341 is a deficient number, since it is larger than the sum of its proper divisors (23471787).

42064341 is a wasteful number, since it uses less digits than its factorization.

42064341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42064341 is about 6485.7028146532. The cubic root of 42064341 is about 347.7800747439.

The spelling of 42064341 in words is "forty-two million, sixty-four thousand, three hundred forty-one".

Divisors: 1 3 11 17 33 51 97 187 291 561 773 1067 1649 2319 3201 4947 8503 13141 18139 25509 39423 54417 74981 144551 224943 433653 824791 1274677 2474373 3824031 14021447 42064341