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47305985 = 5171733217
BaseRepresentation
bin1011010001110…
…1010100000001
310022000101121112
42310131110001
544102242420
64405533105
71113044216
oct264352401
9108011545
1047305985
1124780761
1213a14195
139a5410c
1463d5b0d
1542468c5
hex2d1d501

47305985 has 16 divisors (see below), whose sum is σ = 60472656. Its totient is φ = 35401728.

The previous prime is 47305961. The next prime is 47306003. The reversal of 47305985 is 58950374.

It can be written as a sum of positive squares in 8 ways, for example, as 12931216 + 34374769 = 3596^2 + 5863^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47305985 is a prime.

It is a Duffinian 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 15 ways as a sum of consecutive naturals, for example, 13097 + ... + 16313.

It is an arithmetic number, because the mean of its divisors is an integer number (3779541).

Almost surely, 247305985 is an apocalyptic number.

It is an amenable number.

47305985 is a deficient number, since it is larger than the sum of its proper divisors (13166671).

47305985 is a wasteful number, since it uses less digits than its factorization.

47305985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412.

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 47305985 is about 6877.9346463891. The cubic root of 47305985 is about 361.6640682587.

It can be divided in two parts, 4730 and 5985, that multiplied together give a triangular number (28309050 = T7524).

The spelling of 47305985 in words is "forty-seven million, three hundred five thousand, nine hundred eighty-five".

Divisors: 1 5 17 85 173 865 2941 3217 14705 16085 54689 273445 556541 2782705 9461197 47305985