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249275312 = 241113108949
BaseRepresentation
bin11101101101110…
…10001110110000
3122101001111102222
432312322032300
51002303302222
640422500212
76114543116
oct1666721660
9571044388
10249275312
11118789260
126b594668
133c84a8b0
142516bab6
1516d3e542
hexedba3b0

249275312 has 40 divisors (see below), whose sum is σ = 567411600. Its totient is φ = 104590080.

The previous prime is 249275293. The next prime is 249275321. The reversal of 249275312 is 213572942.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52187 + ... + 56762.

It is an arithmetic number, because the mean of its divisors is an integer number (14185290).

Almost surely, 2249275312 is an apocalyptic number.

249275312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

249275312 is an abundant number, since it is smaller than the sum of its proper divisors (318136288).

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

249275312 is a wasteful number, since it uses less digits than its factorization.

249275312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108981 (or 108975 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 249275312 is about 15788.4550225790. The cubic root of 249275312 is about 629.3512360647.

The spelling of 249275312 in words is "two hundred forty-nine million, two hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 108949 217898 435796 871592 1198439 1416337 1743184 2396878 2832674 4793756 5665348 9587512 11330696 15579707 19175024 22661392 31159414 62318828 124637656 249275312