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1641449268 = 2232411112093
BaseRepresentation
bin110000111010110…
…1000011100110100
311020101200021002100
41201311220130310
511330202334033
6430513542100
755451042244
oct14165503464
94211607070
101641449268
11772612148
12399874930
132020b9174
14118003b24
159918a513
hex61d68734

1641449268 has 36 divisors (see below), whose sum is σ = 4250423268. Its totient is φ = 533804160.

The previous prime is 1641449239. The next prime is 1641449269. The reversal of 1641449268 is 8629441461.

It can be written as a sum of positive squares in 2 ways, for example, as 204432804 + 1437016464 = 14298^2 + 37908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641449269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 554571 + ... + 557522.

It is an arithmetic number, because the mean of its divisors is an integer number (118067313).

Almost surely, 21641449268 is an apocalyptic number.

1641449268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1641449268 is an abundant number, since it is smaller than the sum of its proper divisors (2608974000).

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

1641449268 is a wasteful number, since it uses less digits than its factorization.

1641449268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112144 (or 1112139 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1641449268 is about 40514.8030724574. The cubic root of 1641449268 is about 1179.6209804445.

The spelling of 1641449268 in words is "one billion, six hundred forty-one million, four hundred forty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1112093 2224186 3336279 4448372 6672558 10008837 13345116 20017674 40035348 45595813 91191626 136787439 182383252 273574878 410362317 547149756 820724634 1641449268