Search a number
-
+
192404641 = 112132972
BaseRepresentation
bin10110111011111…
…01110010100001
3111102001011112211
423131331302201
5343223422031
631031522121
74524261322
oct1335756241
9442034484
10192404641
1199675500
1254529341
1330b28100
141b7a6449
1511d58bb1
hexb77dca1

192404641 has 27 divisors (see below), whose sum is σ = 231390873. Its totient is φ = 159793920.

The previous prime is 192404633. The next prime is 192404717. The reversal of 192404641 is 146404291.

The square root of 192404641 is 13871.

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 35153041 + 157251600 = 5929^2 + 12540^2 .

It is not a de Polignac number, because 192404641 - 23 = 192404633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (192404341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1983505 + ... + 1983601.

Almost surely, 2192404641 is an apocalyptic number.

192404641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

192404641 is the 13871-st square number.

192404641 is the 6936-th centered octagonal number.

It is an amenable number.

192404641 is a deficient number, since it is larger than the sum of its proper divisors (38986232).

192404641 is an equidigital number, since it uses as much as digits as its factorization.

192404641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 192404641 is about 577.3048168816.

The spelling of 192404641 in words is "one hundred ninety-two million, four hundred four thousand, six hundred forty-one".

Divisors: 1 11 13 97 121 143 169 1067 1261 1573 1859 9409 11737 13871 16393 20449 103499 122317 152581 180323 1138489 1345487 1590121 1983553 14800357 17491331 192404641