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102825525 = 35211235419
BaseRepresentation
bin1100010000011…
…11111000110101
321011111002002210
412020033320311
5202310404100
614111524033
72356000605
oct610177065
9234432083
10102825525
1153051380
122a529619
13183c290a
14d928c05
159061c50
hex620fe35

102825525 has 48 divisors (see below), whose sum is σ = 193559040. Its totient is φ = 47678400.

The previous prime is 102825517. The next prime is 102825539. The reversal of 102825525 is 525528201.

It is not a de Polignac number, because 102825525 - 23 = 102825517 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102825492 and 102825501.

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, 16266 + ... + 21684.

It is an arithmetic number, because the mean of its divisors is an integer number (4032480).

Almost surely, 2102825525 is an apocalyptic number.

102825525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102825525 is a deficient number, since it is larger than the sum of its proper divisors (90733515).

102825525 is a wasteful number, since it uses less digits than its factorization.

102825525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 102825525 is about 10140.2921555545. The cubic root of 102825525 is about 468.4899855751.

The spelling of 102825525 in words is "one hundred two million, eight hundred twenty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 23 25 33 55 69 75 115 165 253 275 345 575 759 825 1265 1725 3795 5419 6325 16257 18975 27095 59609 81285 124637 135475 178827 298045 373911 406425 623185 894135 1371007 1490225 1869555 3115925 4113021 4470675 6855035 9347775 20565105 34275175 102825525