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820522738 = 27217348397
BaseRepresentation
bin110000111010000…
…010111011110010
32010011221212121001
4300322002323302
53140023211423
6213230352214
726222220400
oct6072027362
92104855531
10820522738
11391188972
121aa95b66a
13100cba219
147ad8c470
154c07ccad
hex30e82ef2

820522738 has 24 divisors (see below), whose sum is σ = 1440034092. Its totient is φ = 349612704.

The previous prime is 820522727. The next prime is 820522739. The reversal of 820522738 is 837225028.

820522738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 696801609 + 123721129 = 26397^2 + 11123^2 .

It is a junction number, because it is equal to n+sod(n) for n = 820522697 and 820522706.

It is not an unprimeable number, because it can be changed into a prime (820522739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7245 + ... + 41152.

Almost surely, 2820522738 is an apocalyptic number.

820522738 is a deficient number, since it is larger than the sum of its proper divisors (619511354).

820522738 is a wasteful number, since it uses less digits than its factorization.

820522738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48586 (or 48579 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 820522738 is about 28644.7680737687. The cubic root of 820522738 is about 936.1890134089.

The spelling of 820522738 in words is "eight hundred twenty million, five hundred twenty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 7 14 49 98 173 346 1211 2422 8477 16954 48397 96794 338779 677558 2371453 4742906 8372681 16745362 58608767 117217534 410261369 820522738