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1893903361 = 7262172
BaseRepresentation
bin111000011100010…
…1010110000000001
311212222201020222221
41300320222300001
512334314401421
6511532531041
764634625100
oct16070526001
94788636887
101893903361
11892071699
1244a320a81
132424aa89c
1413d75c037
15b1406841
hex70e2ac01

1893903361 has 9 divisors (see below), whose sum is σ = 2203466499. Its totient is φ = 1623084624.

The previous prime is 1893903359. The next prime is 1893903371. The reversal of 1893903361 is 1633093981.

It is a happy number.

The square root of 1893903361 is 43519.

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

It can be written as a sum of positive squares in only one way, i.e., 1394649025 + 499254336 = 37345^2 + 22344^2 .

It is not a de Polignac number, because 1893903361 - 21 = 1893903359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1893903301) 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, 301525 + ... + 307741.

It is an arithmetic number, because the mean of its divisors is an integer number (244829611).

Almost surely, 21893903361 is an apocalyptic number.

1893903361 is the 43519-th square number.

1893903361 is the 21760-th centered octagonal number.

It is an amenable number.

1893903361 is a deficient number, since it is larger than the sum of its proper divisors (309563138).

1893903361 is an frugal number, since it uses more digits than its factorization.

1893903361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12448 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The cubic root of 1893903361 is about 1237.2361614994.

Multiplying 1893903361 by its product of nonzero digits (104976), we get a square (198814399224336 = 141001562).

The spelling of 1893903361 in words is "one billion, eight hundred ninety-three million, nine hundred three thousand, three hundred sixty-one".

Divisors: 1 7 49 6217 43519 304633 38651089 270557623 1893903361