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232848 = 24337211
BaseRepresentation
bin111000110110010000
3102211102000
4320312100
524422343
64554000
71656600
oct706620
9384360
10232848
11149a40
12b2900
1381ca5
1460c00
1548ed3
hex38d90

232848 has 120 divisors (see below), whose sum is σ = 848160. Its totient is φ = 60480.

The previous prime is 232847. The next prime is 232853. The reversal of 232848 is 848232.

It is a super-2 number, since 2×2328482 = 108436382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (232847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21163 + ... + 21173.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2232848 is an apocalyptic number.

232848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424080).

232848 is an abundant number, since it is smaller than the sum of its proper divisors (615312).

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

232848 is a wasteful number, since it uses less digits than its factorization.

232848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 23 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 232848 is about 482.5432623092. The cubic root of 232848 is about 61.5211111343.

The spelling of 232848 in words is "two hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 49 54 56 63 66 72 77 84 88 98 99 108 112 126 132 144 147 154 168 176 189 196 198 216 231 252 264 294 297 308 336 378 392 396 432 441 462 504 528 539 588 594 616 693 756 784 792 882 924 1008 1078 1176 1188 1232 1323 1386 1512 1584 1617 1764 1848 2079 2156 2352 2376 2646 2772 3024 3234 3528 3696 4158 4312 4752 4851 5292 5544 6468 7056 8316 8624 9702 10584 11088 12936 14553 16632 19404 21168 25872 29106 33264 38808 58212 77616 116424 232848