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1838608641 = 32142932
BaseRepresentation
bin110110110010110…
…1111000100000001
311202010122222220100
41231211233010001
512231140434031
6502235433013
763363626022
oct15545570401
94663588810
101838608641
11863934981
124338b5769
13233bba50c
14136286c49
15ab632de6
hex6d96f101

1838608641 has 9 divisors (see below), whose sum is σ = 2655953859. Its totient is φ = 1225653336.

The previous prime is 1838608609. The next prime is 1838608643. The reversal of 1838608641 is 1468068381.

It is a happy number.

The square root of 1838608641 is 42879.

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

1838608641 is a `hidden beast` number, since 1 + 8 + 38 + 608 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6426225 + 1832182416 = 2535^2 + 42804^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1838608641 - 25 = 1838608609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1838608643) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 121491 + ... + 135783.

Almost surely, 21838608641 is an apocalyptic number.

1838608641 is the 42879-th square number.

1838608641 is the 21440-th centered octagonal number.

It is an amenable number.

1838608641 is a deficient number, since it is larger than the sum of its proper divisors (817345218).

1838608641 is an frugal number, since it uses more digits than its factorization.

1838608641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28592 (or 14296 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The cubic root of 1838608641 is about 1225.0761892915.

The spelling of 1838608641 in words is "one billion, eight hundred thirty-eight million, six hundred eight thousand, six hundred forty-one".

Divisors: 1 3 9 14293 42879 128637 204289849 612869547 1838608641