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2823252075 = 325274341687
BaseRepresentation
bin1010100001000111…
…0110100001101011
321021202110001202200
42220101312201223
521240223031300
61144052031243
7126651150420
oct25021664153
97252401680
102823252075
11121971a086
12669602523
1335cbab977
141cad57d47
15117cce200
hexa847686b

2823252075 has 72 divisors (see below), whose sum is σ = 5913692928. Its totient is φ = 1260584640.

The previous prime is 2823252073. The next prime is 2823252079. The reversal of 2823252075 is 5702523282.

It is a happy number.

It is not a de Polignac number, because 2823252075 - 21 = 2823252073 is a prime.

It is a super-3 number, since 3×28232520753 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2823252073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46882 + ... + 88568.

It is an arithmetic number, because the mean of its divisors is an integer number (82134624).

Almost surely, 22823252075 is an apocalyptic number.

2823252075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2823252075 is an abundant number, since it is smaller than the sum of its proper divisors (3090440853).

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

2823252075 is a wasteful number, since it uses less digits than its factorization.

2823252075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41753 (or 41745 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2823252075 is about 53134.2834241697. The cubic root of 2823252075 is about 1413.3505275154.

The spelling of 2823252075 in words is "two billion, eight hundred twenty-three million, two hundred fifty-two thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 43 45 63 75 105 129 175 215 225 301 315 387 525 645 903 1075 1505 1575 1935 2709 3225 4515 7525 9675 13545 22575 41687 67725 125061 208435 291809 375183 625305 875427 1042175 1459045 1792541 1875915 2626281 3126525 4377135 5377623 7295225 8962705 9379575 12547787 13131405 16132869 21885675 26888115 37643361 44813525 62738935 65657025 80664345 112930083 134440575 188216805 313694675 403321725 564650415 941084025 2823252075