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247097125 = 5311217312
BaseRepresentation
bin11101011101001…
…10011100100101
3122012221211112101
432232212130211
51001224102000
640304052101
76060201532
oct1656463445
9565854471
10247097125
11117530800
126a904031
133c267322
1424b61d89
1516a5de6a
hexeba6725

247097125 has 72 divisors (see below), whose sum is σ = 370849752. Its totient is φ = 163680000.

The previous prime is 247097117. The next prime is 247097143. The reversal of 247097125 is 521790742.

It can be written as a sum of positive squares in 4 ways, for example, as 1046529 + 246050596 = 1023^2 + 15686^2 .

It is not a de Polignac number, because 247097125 - 23 = 247097117 is a prime.

It is a super-2 number, since 2×2470971252 = 122113978366531250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7970860 + ... + 7970890.

It is an arithmetic number, because the mean of its divisors is an integer number (5150691).

Almost surely, 2247097125 is an apocalyptic number.

247097125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

247097125 is a deficient number, since it is larger than the sum of its proper divisors (123752627).

247097125 is a wasteful number, since it uses less digits than its factorization.

247097125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 247097125 is about 15719.3232996844. The cubic root of 247097125 is about 627.5127640880.

The spelling of 247097125 in words is "two hundred forty-seven million, ninety-seven thousand, one hundred twenty-five".

Divisors: 1 5 11 17 25 31 55 85 121 125 155 187 275 341 425 527 605 775 935 961 1375 1705 2057 2125 2635 3025 3751 3875 4675 4805 5797 8525 10285 10571 13175 15125 16337 18755 23375 24025 28985 42625 51425 52855 63767 65875 81685 93775 116281 120125 144925 179707 257125 264275 318835 408425 468875 581405 724625 898535 1321375 1594175 1976777 2042125 2907025 4492675 7970875 9883885 14535125 22463375 49419425 247097125