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248609268 = 223268310111
BaseRepresentation
bin11101101000101…
…11100111110100
3122022210122210200
432310113213310
51002120444033
640400320500
76106100235
oct1664274764
9568718720
10248609268
11118373906
126b313130
133c67669b
142503708c
1516c5c013
hexed179f4

248609268 has 36 divisors (see below), whose sum is σ = 629411328. Its totient is φ = 82740240.

The previous prime is 248609267. The next prime is 248609279. The reversal of 248609268 is 862906842.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248609261) 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 11 ways as a sum of consecutive naturals, for example, 19533 + ... + 29643.

It is an arithmetic number, because the mean of its divisors is an integer number (17483648).

Almost surely, 2248609268 is an apocalyptic number.

It is an amenable number.

248609268 is an abundant number, since it is smaller than the sum of its proper divisors (380802060).

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

248609268 is a wasteful number, since it uses less digits than its factorization.

248609268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 248609268 is about 15767.3481600426. The cubic root of 248609268 is about 628.7902104511.

The spelling of 248609268 in words is "two hundred forty-eight million, six hundred nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 683 1366 2049 2732 4098 6147 8196 10111 12294 20222 24588 30333 40444 60666 90999 121332 181998 363996 6905813 13811626 20717439 27623252 41434878 62152317 82869756 124304634 248609268