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2627089088 = 261311327943
BaseRepresentation
bin1001110010010110…
…0011001011000000
320210002022221201212
42130211203023000
520340013322323
61112403345252
7122046613601
oct23445431300
96702287655
102627089088
111128a17a08
12613982228
1332b368cb0
141acc93da8
15105981b78
hex9c9632c0

2627089088 has 56 divisors (see below), whose sum is σ = 5664025248. Its totient is φ = 1201729536.

The previous prime is 2627089081. The next prime is 2627089109. The reversal of 2627089088 is 8809807262.

It is a super-3 number, since 3×26270890883 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2627089081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80045 + ... + 107987.

It is an arithmetic number, because the mean of its divisors is an integer number (101143308).

Almost surely, 22627089088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2627089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832012624).

2627089088 is an abundant number, since it is smaller than the sum of its proper divisors (3036936160).

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

2627089088 is a wasteful number, since it uses less digits than its factorization.

2627089088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28081 (or 28071 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 2627089088 is about 51255.1371864323. The cubic root of 2627089088 is about 1379.8279362593.

The spelling of 2627089088 in words is "two billion, six hundred twenty-seven million, eighty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 208 226 416 452 832 904 1469 1808 2938 3616 5876 7232 11752 23504 27943 47008 55886 94016 111772 223544 363259 447088 726518 894176 1453036 1788352 2906072 3157559 5812144 6315118 11624288 12630236 23248576 25260472 41048267 50520944 82096534 101041888 164193068 202083776 328386136 656772272 1313544544 2627089088