Search a number
-
+
249754441 is a prime number
BaseRepresentation
bin11101110001011…
…11001101001001
3122101221211200111
432320233031021
51002414120231
640441034321
76121610026
oct1670571511
9571854614
10249754441
11118a86232
126b7859a1
133c9879c1
142525454d
1516dd64b1
hexee2f349

249754441 has 2 divisors, whose sum is σ = 249754442. Its totient is φ = 249754440.

The previous prime is 249754397. The next prime is 249754457. The reversal of 249754441 is 144457942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153636025 + 96118416 = 12395^2 + 9804^2 .

It is a cyclic number.

It is not a de Polignac number, because 249754441 - 29 = 249753929 is a prime.

It is a Chen prime.

It is equal to p13666648 and since 249754441 and 13666648 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 249754394 and 249754403.

It is not a weakly prime, because it can be changed into another prime (249754481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124877220 + 124877221.

It is an arithmetic number, because the mean of its divisors is an integer number (124877221).

Almost surely, 2249754441 is an apocalyptic number.

It is an amenable number.

249754441 is a deficient number, since it is larger than the sum of its proper divisors (1).

249754441 is an equidigital number, since it uses as much as digits as its factorization.

249754441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 161280, while the sum is 40.

The square root of 249754441 is about 15803.6211356765. The cubic root of 249754441 is about 629.7542007443.

The spelling of 249754441 in words is "two hundred forty-nine million, seven hundred fifty-four thousand, four hundred forty-one".