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82380025 = 527313739
BaseRepresentation
bin1001110100100…
…00010011111001
312202000100011001
410322100103321
5132042130100
612101405001
72020135000
oct472202371
9182010131
1082380025
1142557372
1223709761
13140b47a0
14ad25c37
157373d6a
hex4e904f9

82380025 has 48 divisors (see below), whose sum is σ = 128464000. Its totient is φ = 52073280.

The previous prime is 82380007. The next prime is 82380059. The reversal of 82380025 is 52008328.

It is not a de Polignac number, because 82380025 - 27 = 82379897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82379975 and 82380002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111106 + ... + 111844.

Almost surely, 282380025 is an apocalyptic number.

It is an amenable number.

82380025 is a deficient number, since it is larger than the sum of its proper divisors (46083975).

82380025 is a wasteful number, since it uses less digits than its factorization.

82380025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 82380025 is about 9076.3442530570. The cubic root of 82380025 is about 435.1182573624.

The spelling of 82380025 in words is "eighty-two million, three hundred eighty thousand, twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 175 245 325 343 455 637 739 1225 1715 2275 3185 3695 4459 5173 8575 9607 15925 18475 22295 25865 36211 48035 67249 111475 129325 181055 240175 253477 336245 470743 905275 1267385 1681225 2353715 3295201 6336925 11768575 16476005 82380025