Search a number
-
+
249668133 = 311213191277
BaseRepresentation
bin11101110000110…
…10001000100101
3122101210110021220
432320122020211
51002403340013
640435130553
76121100301
oct1670321045
9571713256
10249668133
11118a27400
126b743a59
133c957630
1425230d01
1516dbab23
hexee1a225

249668133 has 48 divisors (see below), whose sum is σ = 397544448. Its totient is φ = 138441600.

The previous prime is 249668093. The next prime is 249668143. The reversal of 249668133 is 331866942.

It is not a de Polignac number, because 249668133 - 210 = 249667109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249668143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901191 + ... + 901467.

It is an arithmetic number, because the mean of its divisors is an integer number (8282176).

Almost surely, 2249668133 is an apocalyptic number.

It is an amenable number.

249668133 is a deficient number, since it is larger than the sum of its proper divisors (147876315).

249668133 is a wasteful number, since it uses less digits than its factorization.

249668133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 249668133 is about 15800.8902597290. The cubic root of 249668133 is about 629.6816506994.

The spelling of 249668133 in words is "two hundred forty-nine million, six hundred sixty-eight thousand, one hundred thirty-three".

Divisors: 1 3 11 13 33 39 121 143 191 277 363 429 573 831 1573 2101 2483 3047 3601 4719 6303 7449 9141 10803 23111 27313 33517 39611 52907 69333 81939 100551 118833 158721 300443 435721 581977 687791 901329 1307163 1745931 2063373 6401747 7565701 19205241 22697103 83222711 249668133