Search a number
-
+
196196049 = 3272232292
BaseRepresentation
bin10111011000110…
…11011011010001
3111200011210101100
423230123123101
5400211233144
631245055013
74601432100
oct1354333321
9450153340
10196196049
11a0824aa5
1255857469
1331854a4a
141c0b2037
1512357269
hexbb1b6d1

196196049 has 81 divisors (see below), whose sum is σ = 356912283. Its totient is φ = 103539744.

The previous prime is 196196017. The next prime is 196196051. The reversal of 196196049 is 940691691.

The square root of 196196049 is 14007.

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., 102880449 + 93315600 = 10143^2 + 9660^2 .

It is not a de Polignac number, because 196196049 - 25 = 196196017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 196195995 and 196196013.

It is not an unprimeable number, because it can be changed into a prime (196196059) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6765367 + ... + 6765395.

Almost surely, 2196196049 is an apocalyptic number.

196196049 is the 14007-th square number.

196196049 is the 7004-th centered octagonal number.

It is an amenable number.

196196049 is a deficient number, since it is larger than the sum of its proper divisors (160716234).

196196049 is a wasteful number, since it uses less digits than its factorization.

196196049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The cubic root of 196196049 is about 581.0721834156.

Multiplying 196196049 by its product of nonzero digits (104976), we get a square (20595876439824 = 45382682).

The spelling of 196196049 in words is "one hundred ninety-six million, one hundred ninety-six thousand, forty-nine".

Divisors: 1 3 7 9 21 23 29 49 63 69 87 147 161 203 207 261 441 483 529 609 667 841 1127 1421 1449 1587 1827 2001 2523 3381 3703 4263 4669 4761 5887 6003 7569 10143 11109 12789 14007 15341 17661 19343 25921 32683 33327 41209 42021 46023 52983 58029 77763 98049 107387 123627 135401 138069 174087 233289 294147 322161 370881 406203 444889 751709 947807 966483 1218609 1334667 2255127 2843421 3114223 4004001 6765381 8530263 9342669 21799561 28028007 65398683 196196049