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247097005 = 5672101109
BaseRepresentation
bin11101011101001…
…10011010101101
3122012221211100221
432232212122231
51001224101010
640304051341
76060201301
oct1656463255
9565854327
10247097005
11117530701
126a903b51
133c26725c
1424b61d01
1516a5ddda
hexeba66ad

247097005 has 24 divisors (see below), whose sum is σ = 306777240. Its totient is φ = 191030400.

The previous prime is 247096979. The next prime is 247097017. The reversal of 247097005 is 500790742.

It can be written as a sum of positive squares in 4 ways, for example, as 106461124 + 140635881 = 10318^2 + 11859^2 .

It is not a de Polignac number, because 247097005 - 25 = 247096973 is a prime.

It is a super-2 number, since 2×2470970052 = 122113859759940050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2266891 + ... + 2266999.

It is an arithmetic number, because the mean of its divisors is an integer number (12782385).

Almost surely, 2247097005 is an apocalyptic number.

It is an amenable number.

247097005 is a deficient number, since it is larger than the sum of its proper divisors (59680235).

247097005 is a wasteful number, since it uses less digits than its factorization.

247097005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 247097005 is about 15719.3194827257. The cubic root of 247097005 is about 627.5126625064.

The spelling of 247097005 in words is "two hundred forty-seven million, ninety-seven thousand, five".

Divisors: 1 5 67 101 109 335 505 545 4489 6767 7303 11009 22445 33835 36515 55045 453389 489301 737603 2266945 2446505 3688015 49419401 247097005