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42846080 = 27566947
BaseRepresentation
bin1010001101110…
…0011110000000
32222121210202212
42203130132000
541432033310
64130201252
71030120454
oct243343600
988553685
1042846080
1122204992
1212423228
138b52114
145994664
153b65205
hex28dc780

42846080 has 32 divisors (see below), whose sum is σ = 102430440. Its totient is φ = 17138176.

The previous prime is 42846077. The next prime is 42846091. The reversal of 42846080 is 8064824.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 32834 + ... + 34113.

Almost surely, 242846080 is an apocalyptic number.

42846080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42846080 is an abundant number, since it is smaller than the sum of its proper divisors (59584360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42846080 is an equidigital number, since it uses as much as digits as its factorization.

42846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66966 (or 66954 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 42846080 is about 6545.6917128750. The cubic root of 42846080 is about 349.9212884223.

The spelling of 42846080 in words is "forty-two million, eight hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 66947 133894 267788 334735 535576 669470 1071152 1338940 2142304 2677880 4284608 5355760 8569216 10711520 21423040 42846080