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820500869 = 17277174241
BaseRepresentation
bin110000111001111…
…101100110000101
32010011220202121002
4300321331212011
53140022011434
6213230103045
726222066546
oct6071754605
92104822532
10820500869
113911734a1
121aa94aa85
13100cb0296
147ad844cd
154c07657e
hex30e7d985

820500869 has 8 divisors (see below), whose sum is σ = 871906968. Its totient is φ = 769443840.

The previous prime is 820500853. The next prime is 820500881. The reversal of 820500869 is 968005028.

It can be written as a sum of positive squares in 4 ways, for example, as 188732644 + 631768225 = 13738^2 + 25135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820500869 - 24 = 820500853 is a prime.

It is a super-2 number, since 2×8205008692 = 1346443352059510322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820500829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82412 + ... + 91829.

It is an arithmetic number, because the mean of its divisors is an integer number (108988371).

Almost surely, 2820500869 is an apocalyptic number.

It is an amenable number.

820500869 is a deficient number, since it is larger than the sum of its proper divisors (51406099).

820500869 is a wasteful number, since it uses less digits than its factorization.

820500869 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174535.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 820500869 is about 28644.3863435752. The cubic root of 820500869 is about 936.1806960690.

The spelling of 820500869 in words is "eight hundred twenty million, five hundred thousand, eight hundred sixty-nine".

Divisors: 1 17 277 4709 174241 2962097 48264757 820500869