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82852020 = 22325460289
BaseRepresentation
bin1001111000000…
…11100010110100
312202220022121100
410330003202310
5132202231040
612115450100
72024142036
oct474034264
9182808540
1082852020
1142849a49
12238b6930
131421b584
14b009c56
157418b30
hex4f038b4

82852020 has 36 divisors (see below), whose sum is σ = 251318340. Its totient is φ = 22093824.

The previous prime is 82852019. The next prime is 82852051. The reversal of 82852020 is 2025828.

It can be written as a sum of positive squares in 2 ways, for example, as 19554084 + 63297936 = 4422^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229965 + ... + 230324.

It is an arithmetic number, because the mean of its divisors is an integer number (6981065).

Almost surely, 282852020 is an apocalyptic number.

It is an amenable number.

82852020 is an abundant number, since it is smaller than the sum of its proper divisors (168466320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82852020 is a wasteful number, since it uses less digits than its factorization.

82852020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460304 (or 460299 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82852020 is about 9102.3084983975. The cubic root of 82852020 is about 435.9476762954.

Adding to 82852020 its reverse (2025828), we get a palindrome (84877848).

The spelling of 82852020 in words is "eighty-two million, eight hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 460289 920578 1380867 1841156 2301445 2761734 4142601 4602890 5523468 6904335 8285202 9205780 13808670 16570404 20713005 27617340 41426010 82852020