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52102125 = 3253291597
BaseRepresentation
bin1100011011000…
…0001111101101
310122001001200100
43012300033231
5101314232000
65100421313
71201601145
oct306601755
9118031610
1052102125
1127457109
1215547839
13aa4317a
146cc3925
154892a00
hex31b03ed

52102125 has 48 divisors (see below), whose sum is σ = 97222320. Its totient is φ = 26812800.

The previous prime is 52102051. The next prime is 52102147. The reversal of 52102125 is 52120125.

It can be written as a sum of positive squares in 8 ways, for example, as 24413481 + 27688644 = 4941^2 + 5262^2 .

It is not a de Polignac number, because 52102125 - 29 = 52101613 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52102098 and 52102107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31827 + ... + 33423.

It is an arithmetic number, because the mean of its divisors is an integer number (2025465).

Almost surely, 252102125 is an apocalyptic number.

It is an amenable number.

52102125 is a deficient number, since it is larger than the sum of its proper divisors (45120195).

52102125 is a wasteful number, since it uses less digits than its factorization.

52102125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 52102125 is about 7218.1801723149. The cubic root of 52102125 is about 373.4953037801.

The spelling of 52102125 in words is "fifty-two million, one hundred two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 725 1125 1305 1597 2175 3625 4791 6525 7985 10875 14373 23955 32625 39925 46313 71865 119775 138939 199625 231565 359325 416817 598875 694695 1157825 1796625 2084085 3473475 5789125 10420425 17367375 52102125