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82970517 = 3789103431
BaseRepresentation
bin1001111001000…
…00011110010101
312210010100011010
410330200132111
5132220024032
612122202433
72025144360
oct474403625
9183110133
1082970517
114291aa83
1223953419
13142604a6
14b03b0d7
15743dccc
hex4f20795

82970517 has 32 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 46316160.

The previous prime is 82970483. The next prime is 82970527. The reversal of 82970517 is 71507928.

It is not a de Polignac number, because 82970517 - 215 = 82937749 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82970527) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 192292 + ... + 192722.

It is an arithmetic number, because the mean of its divisors is an integer number (4043520).

Almost surely, 282970517 is an apocalyptic number.

It is an amenable number.

82970517 is a deficient number, since it is larger than the sum of its proper divisors (46422123).

82970517 is a wasteful number, since it uses less digits than its factorization.

82970517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 82970517 is about 9108.8153455869. The cubic root of 82970517 is about 436.1554116594.

The spelling of 82970517 in words is "eighty-two million, nine hundred seventy thousand, five hundred seventeen".

Divisors: 1 3 7 21 89 103 267 309 431 623 721 1293 1869 2163 3017 9051 9167 27501 38359 44393 64169 115077 133179 192507 268513 310751 805539 932253 3950977 11852931 27656839 82970517