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47066080 = 255436841
BaseRepresentation
bin1011001110001…
…0101111100000
310021120012112011
42303202233200
544022103310
64400442304
71111024615
oct263425740
9107505464
1047066080
1124627496
1213919394
13999bb69
14637250c
1541ea78a
hex2ce2be0

47066080 has 48 divisors (see below), whose sum is σ = 113796144. Its totient is φ = 18385920.

The previous prime is 47066057. The next prime is 47066099. The reversal of 47066080 is 8066074.

47066080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3460 + ... + 10300.

It is an arithmetic number, because the mean of its divisors is an integer number (2370753).

Almost surely, 247066080 is an apocalyptic number.

47066080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56898072).

47066080 is an abundant number, since it is smaller than the sum of its proper divisors (66730064).

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

47066080 is a wasteful number, since it uses less digits than its factorization.

47066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 47066080 is about 6860.4722869493. The cubic root of 47066080 is about 361.0516573433.

The spelling of 47066080 in words is "forty-seven million, sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 6841 6880 13682 27364 34205 54728 68410 109456 136820 218912 273640 294163 547280 588326 1094560 1176652 1470815 2353304 2941630 4706608 5883260 9413216 11766520 23533040 47066080