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82057605 = 357341389
BaseRepresentation
bin1001110010000…
…01100110000101
312201101221212120
410321001212011
5132001320410
612050440153
72014323000
oct471014605
9181357776
1082057605
1142357103
1223593059
1314000ac6
14ac80537
15730d570
hex4e41985

82057605 has 64 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 36503040.

The previous prime is 82057597. The next prime is 82057607. The reversal of 82057605 is 50675028.

It is a happy number.

It is not a de Polignac number, because 82057605 - 23 = 82057597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82057607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210751 + ... + 211139.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 282057605 is an apocalyptic number.

It is an amenable number.

82057605 is a deficient number, since it is larger than the sum of its proper divisors (75190395).

82057605 is a wasteful number, since it uses less digits than its factorization.

82057605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 82057605 is about 9058.5652837522. The cubic root of 82057605 is about 434.5498580384.

The spelling of 82057605 in words is "eighty-two million, fifty-seven thousand, six hundred five".

Divisors: 1 3 5 7 15 21 35 41 49 105 123 147 205 245 287 343 389 615 735 861 1029 1167 1435 1715 1945 2009 2723 4305 5145 5835 6027 8169 10045 13615 14063 15949 19061 30135 40845 42189 47847 57183 70315 79745 95305 111643 133427 210945 239235 285915 334929 400281 558215 667135 781501 1674645 2001405 2344503 3907505 5470507 11722515 16411521 27352535 82057605