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638017081 = 132292672
BaseRepresentation
bin100110000001110…
…101111000111001
31122110112121220021
4212001311320321
52301313021311
6143150530441
721545025052
oct4601657071
91573477807
10638017081
112a8164749
12159806a21
13a2249a00
1460a41729
153b02c171
hex26075e39

638017081 has 27 divisors (see below), whose sum is σ = 726353901. Its totient is φ = 560143584.

The previous prime is 638017067. The next prime is 638017141. The reversal of 638017081 is 180710836.

The square root of 638017081 is 25259.

It is a perfect power (a square), and thus also a powerful number.

638017081 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 4 ways, for example, as 81812025 + 556205056 = 9045^2 + 23584^2 .

It is not a de Polignac number, because 638017081 - 217 = 637886009 is a prime.

It is a super-2 number, since 2×6380170812 = 814131591295521122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (638017001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9522610 + ... + 9522676.

Almost surely, 2638017081 is an apocalyptic number.

638017081 is the 25259-th square number.

638017081 is the 12630-th centered octagonal number.

It is an amenable number.

638017081 is a deficient number, since it is larger than the sum of its proper divisors (88336820).

638017081 is an equidigital number, since it uses as much as digits as its factorization.

638017081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The cubic root of 638017081 is about 860.8829407715.

The spelling of 638017081 in words is "six hundred thirty-eight million, seventeen thousand, eighty-one".

Divisors: 1 13 29 67 169 377 841 871 1943 4489 4901 10933 11323 25259 56347 58357 130181 142129 328367 732511 758641 1692353 3775249 9522643 22000589 49078237 638017081