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233856 = 2732729
BaseRepresentation
bin111001000110000000
3102212210100
4321012000
524440411
65002400
71662540
oct710600
9385710
10233856
1114a777
12b3400
138259c
1461320
1549456
hex39180

233856 has 96 divisors (see below), whose sum is σ = 795600. Its totient is φ = 64512.

The previous prime is 233851. The next prime is 233861. The reversal of 233856 is 658332.

233856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233851) and next prime (233861).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233851) by changing a digit.

233856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8050 + ... + 8078.

2233856 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 233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397800).

233856 is an abundant number, since it is smaller than the sum of its proper divisors (561744).

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

233856 is a wasteful number, since it uses less digits than its factorization.

233856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 233856 is about 483.5866003106. The cubic root of 233856 is about 61.6097583911.

It can be divided in two parts, 233 and 856, that added together give a square (1089 = 332).

The spelling of 233856 in words is "two hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 64 72 84 87 96 112 116 126 128 144 168 174 192 203 224 232 252 261 288 336 348 384 406 448 464 504 522 576 609 672 696 812 896 928 1008 1044 1152 1218 1344 1392 1624 1827 1856 2016 2088 2436 2688 2784 3248 3654 3712 4032 4176 4872 5568 6496 7308 8064 8352 9744 11136 12992 14616 16704 19488 25984 29232 33408 38976 58464 77952 116928 233856