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1683378841 = 8924612
BaseRepresentation
bin110010001010110…
…0101001010011001
311100022120111122111
41210111211022121
511421421110331
6435012352321
756500325014
oct14425451231
94308514574
101683378841
11794250491
123ab9156a1
1320a9aa071
1411d7da37b
159cbbddb1
hex64565299

1683378841 has 9 divisors (see below), whose sum is σ = 1706206813. Its totient is φ = 1660853920.

The previous prime is 1683378839. The next prime is 1683378857. The reversal of 1683378841 is 1488733861.

It is a happy number.

The square root of 1683378841 is 41029.

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

It can be written as a sum of positive squares in 4 ways, for example, as 408888841 + 1274490000 = 20221^2 + 35700^2 .

It is not a de Polignac number, because 1683378841 - 21 = 1683378839 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1683378881) 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, 3651351 + ... + 3651811.

Almost surely, 21683378841 is an apocalyptic number.

1683378841 is the 41029-th square number.

1683378841 is the 20515-th centered octagonal number.

It is an amenable number.

1683378841 is a deficient number, since it is larger than the sum of its proper divisors (22827972).

1683378841 is an frugal number, since it uses more digits than its factorization.

1683378841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 550 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The cubic root of 1683378841 is about 1189.5808238104.

Multiplying 1683378841 by its sum of digits (49), we get a square (82485563209 = 2872032).

The spelling of 1683378841 in words is "one billion, six hundred eighty-three million, three hundred seventy-eight thousand, eight hundred forty-one".

Divisors: 1 89 461 7921 41029 212521 3651581 18914369 1683378841