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249639324 = 2231141193239
BaseRepresentation
bin11101110000100…
…11000110011100
3122101201222202220
432320103012130
51002401424244
640434345340
76120620304
oct1670230634
9571658686
10249639324
11118a077a0
126b72b250
133c94749c
1425224604
1516db2319
hexee1319c

249639324 has 96 divisors (see below), whose sum is σ = 657054720. Its totient is φ = 73113600.

The previous prime is 249639317. The next prime is 249639353. The reversal of 249639324 is 423936942.

249639324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044397 + ... + 1044635.

It is an arithmetic number, because the mean of its divisors is an integer number (6844320).

Almost surely, 2249639324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249639324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328527360).

249639324 is an abundant number, since it is smaller than the sum of its proper divisors (407415396).

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

249639324 is a wasteful number, since it uses less digits than its factorization.

249639324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 249639324 is about 15799.9786075805. The cubic root of 249639324 is about 629.6574302857.

The spelling of 249639324 in words is "two hundred forty-nine million, six hundred thirty-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 193 239 246 386 451 478 492 579 717 772 902 956 1158 1353 1434 1804 2123 2316 2629 2706 2868 4246 5258 5412 6369 7887 7913 8492 9799 10516 12738 15774 15826 19598 23739 25476 29397 31548 31652 39196 46127 47478 58794 87043 92254 94956 107789 117588 138381 174086 184508 215578 261129 276762 323367 348172 431156 507397 522258 553524 646734 1014794 1044516 1293468 1522191 1891207 2029588 3044382 3782414 5673621 6088764 7564828 11347242 20803277 22694484 41606554 62409831 83213108 124819662 249639324