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42959385 = 3257136379
BaseRepresentation
bin1010001111100…
…0001000011001
32222211120012100
42203320020121
541444200020
64132434013
71031102010
oct243701031
988746170
1042959385
1122282027
1212478909
138b91871
1459c3a77
153b88a90
hex28f8219

42959385 has 24 divisors (see below), whose sum is σ = 85101120. Its totient is φ = 19638432.

The previous prime is 42959369. The next prime is 42959387. The reversal of 42959385 is 58395924.

It is not a de Polignac number, because 42959385 - 24 = 42959369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42959385.

It is not an unprimeable number, because it can be changed into a prime (42959387) 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 23 ways as a sum of consecutive naturals, for example, 67875 + ... + 68504.

It is an arithmetic number, because the mean of its divisors is an integer number (3545880).

Almost surely, 242959385 is an apocalyptic number.

42959385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42959385 is a deficient number, since it is larger than the sum of its proper divisors (42141735).

42959385 is a wasteful number, since it uses less digits than its factorization.

42959385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136397 (or 136394 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 42959385 is about 6554.3409279652. The cubic root of 42959385 is about 350.2294685695.

The spelling of 42959385 in words is "forty-two million, nine hundred fifty-nine thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 136379 409137 681895 954653 1227411 2045685 2863959 4773265 6137055 8591877 14319795 42959385