Search a number
-
+
1832610481 = 132372892
BaseRepresentation
bin110110100111011…
…0110101010110001
311201201101020222021
41231032312222301
512223122013411
6501503111441
763261634462
oct15516665261
94651336867
101832610481
11860508419
124318a2581
1323289a300
14135564d69
15aad4aa71
hex6d3b6ab1

1832610481 has 27 divisors (see below), whose sum is σ = 2062680291. Its totient is φ = 1627426944.

The previous prime is 1832610457. The next prime is 1832610499. The reversal of 1832610481 is 1840162381.

The square root of 1832610481 is 42809.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1383170481 + 449440000 = 37191^2 + 21200^2 .

It is not a de Polignac number, because 1832610481 - 211 = 1832608433 is a prime.

It is a super-2 number, since 2×18326104812 = 6716922350142102722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1832610431) 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, 20591085 + ... + 20591173.

Almost surely, 21832610481 is an apocalyptic number.

1832610481 is the 42809-th square number.

1832610481 is the 21405-th centered octagonal number.

It is an amenable number.

1832610481 is a deficient number, since it is larger than the sum of its proper divisors (230069810).

1832610481 is an frugal number, since it uses more digits than its factorization.

1832610481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The cubic root of 1832610481 is about 1223.7425343897.

Multiplying 1832610481 by its product of nonzero digits (9216), we get a square (16889338192896 = 41096642).

The spelling of 1832610481 in words is "one billion, eight hundred thirty-two million, six hundred ten thousand, four hundred eighty-one".

Divisors: 1 13 37 89 169 481 1157 1369 3293 6253 7921 15041 17797 42809 102973 121841 231361 293077 556517 1338649 1583933 3810001 10843849 20591129 49530013 140970037 1832610481