Search a number
-
+
249627048 = 233111755621
BaseRepresentation
bin11101110000100…
…00000110101000
3122101201100221020
432320100012220
51002401031143
640434212440
76120536436
oct1670200650
9571640836
10249627048
111189a9550
126b724120
133c941a18
142521dd56
1516dad883
hexee101a8

249627048 has 64 divisors (see below), whose sum is σ = 720861120. Its totient is φ = 71193600.

The previous prime is 249627047. The next prime is 249627061. The reversal of 249627048 is 840726942.

249627048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249627047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23323 + ... + 32298.

It is an arithmetic number, because the mean of its divisors is an integer number (11263455).

Almost surely, 2249627048 is an apocalyptic number.

It is an amenable number.

249627048 is an abundant number, since it is smaller than the sum of its proper divisors (471234072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249627048 is a wasteful number, since it uses less digits than its factorization.

249627048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55658 (or 55654 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 249627048 is about 15799.5901212658. The cubic root of 249627048 is about 629.6471089933.

The spelling of 249627048 in words is "two hundred forty-nine million, six hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 55621 111242 166863 222484 333726 444968 611831 667452 945557 1223662 1334904 1835493 1891114 2447324 2836671 3670986 3782228 4894648 5673342 7341972 7564456 10401127 11346684 14683944 20802254 22693368 31203381 41604508 62406762 83209016 124813524 249627048