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4147430625 = 325413431319
BaseRepresentation
bin1111011100110100…
…1100010011100001
3101201001010022020200
43313031030103201
531443220240000
61523313455413
7204530402322
oct36715142341
911631108220
104147430625
111839131018
12978b71569
13511330c80
142b4b70449
15194198500
hexf734c4e1

4147430625 has 120 divisors (see below), whose sum is σ = 8255607360. Its totient is φ = 1992816000.

The previous prime is 4147430597. The next prime is 4147430627. The reversal of 4147430625 is 5260347414.

It is not a de Polignac number, because 4147430625 - 25 = 4147430593 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4147430625.

It is not an unprimeable number, because it can be changed into a prime (4147430627) 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 119 ways as a sum of consecutive naturals, for example, 3143716 + ... + 3145034.

It is an arithmetic number, because the mean of its divisors is an integer number (68796728).

Almost surely, 24147430625 is an apocalyptic number.

4147430625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4147430625 is a deficient number, since it is larger than the sum of its proper divisors (4108176735).

4147430625 is a wasteful number, since it uses less digits than its factorization.

4147430625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4147430625 is about 64400.5483284110. The cubic root of 4147430625 is about 1606.6688612760.

The spelling of 4147430625 in words is "four billion, one hundred forty-seven million, four hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 43 45 65 75 117 125 129 195 215 225 325 375 387 559 585 625 645 975 1075 1125 1319 1625 1677 1875 1935 2795 2925 3225 3957 4875 5031 5375 5625 6595 8125 8385 9675 11871 13975 14625 16125 17147 19785 24375 25155 26875 32975 41925 48375 51441 56717 59355 69875 73125 80625 85735 98925 125775 154323 164875 170151 209625 241875 257205 283585 296775 349375 428675 494625 510453 628875 737321 771615 824375 850755 1048125 1286025 1417925 1483875 2143375 2211963 2473125 2552265 3144375 3686605 3858075 4253775 6430125 6635889 7089625 7419375 10716875 11059815 12761325 18433025 19290375 21268875 32150625 33179445 35448125 55299075 63806625 92165125 96451875 106344375 165897225 276495375 319033125 460825625 829486125 1382476875 4147430625