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247083327 = 3259465317
BaseRepresentation
bin11101011101000…
…11000100111111
3122012221010121100
432232203010333
51001223131302
640303504143
76060113361
oct1656430477
9565833540
10247083327
111175213a7
126a8b8053
133c260c6a
1424b5ad31
1516a59d1c
hexeba313f

247083327 has 12 divisors (see below), whose sum is σ = 362948040. Its totient is φ = 161929968.

The previous prime is 247083311. The next prime is 247083329. The reversal of 247083327 is 723380742.

It is not a de Polignac number, because 247083327 - 24 = 247083311 is a prime.

It is a super-2 number, since 2×2470833272 = 122100340962777858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247083291 and 247083300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247083329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232128 + ... + 233189.

It is an arithmetic number, because the mean of its divisors is an integer number (30245670).

Almost surely, 2247083327 is an apocalyptic number.

247083327 is a deficient number, since it is larger than the sum of its proper divisors (115864713).

247083327 is a wasteful number, since it uses less digits than its factorization.

247083327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465382 (or 465379 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 247083327 is about 15718.8844069800. The cubic root of 247083327 is about 627.5010836846.

The spelling of 247083327 in words is "two hundred forty-seven million, eighty-three thousand, three hundred twenty-seven".

Divisors: 1 3 9 59 177 531 465317 1395951 4187853 27453703 82361109 247083327