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42846045 = 35111979173
BaseRepresentation
bin1010001101110…
…0011101011101
32222121210201120
42203130131131
541432033140
64130201153
71030120404
oct243343535
988553646
1042846045
1122204960
12124231b9
138b520b8
14599463b
153b651d0
hex28dc75d

42846045 has 64 divisors (see below), whose sum is σ = 80179200. Its totient is φ = 19319040.

The previous prime is 42846019. The next prime is 42846053. The reversal of 42846045 is 54064824.

It is not a de Polignac number, because 42846045 - 225 = 9291613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42845997 and 42846015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247579 + ... + 247751.

It is an arithmetic number, because the mean of its divisors is an integer number (1252800).

Almost surely, 242846045 is an apocalyptic number.

It is an amenable number.

42846045 is a deficient number, since it is larger than the sum of its proper divisors (37333155).

42846045 is a wasteful number, since it uses less digits than its factorization.

42846045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290.

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 42846045 is about 6545.6890393602. The cubic root of 42846045 is about 349.9211931413.

The spelling of 42846045 in words is "forty-two million, eight hundred forty-six thousand, forty-five".

Divisors: 1 3 5 11 15 19 33 55 57 79 95 165 173 209 237 285 395 519 627 865 869 1045 1185 1501 1903 2595 2607 3135 3287 4345 4503 5709 7505 9515 9861 13035 13667 16435 16511 22515 28545 36157 41001 49305 49533 68335 82555 108471 150337 180785 205005 247665 259673 451011 542355 751685 779019 1298365 2255055 2856403 3895095 8569209 14282015 42846045