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820536675 = 35273150417
BaseRepresentation
bin110000111010000…
…110010101100011
32010011222120201020
4300322012111203
53140024133200
6213230540523
726222306130
oct6072062543
92104876636
10820536675
11391198392
121aa967743
13100cc367a
147ad93587
154c081ea0
hex30e86563

820536675 has 48 divisors (see below), whose sum is σ = 1600468992. Its totient is φ = 362995200.

The previous prime is 820536611. The next prime is 820536683. The reversal of 820536675 is 576635028.

It is not a de Polignac number, because 820536675 - 26 = 820536611 is a prime.

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, 8934 + ... + 41483.

It is an arithmetic number, because the mean of its divisors is an integer number (33343104).

Almost surely, 2820536675 is an apocalyptic number.

820536675 is a deficient number, since it is larger than the sum of its proper divisors (779932317).

820536675 is a wasteful number, since it uses less digits than its factorization.

820536675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50468 (or 50463 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 820536675 is about 28645.0113457824. The cubic root of 820536675 is about 936.1943139292.

The spelling of 820536675 in words is "eight hundred twenty million, five hundred thirty-six thousand, six hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 155 175 217 465 525 651 775 1085 2325 3255 5425 16275 50417 151251 252085 352919 756255 1058757 1260425 1562927 1764595 3781275 4688781 5293785 7814635 8822975 10940489 23443905 26468925 32821467 39073175 54702445 117219525 164107335 273512225 820536675