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296856 = 233271931
BaseRepresentation
bin1001000011110011000
3120002012200
41020132120
533444411
610210200
72344320
oct1103630
9502180
10296856
1119303a
12123960
13a5171
147a280
155ce56
hex48798

296856 has 96 divisors (see below), whose sum is σ = 998400. Its totient is φ = 77760.

The previous prime is 296843. The next prime is 296909. The reversal of 296856 is 658692.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 296856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9561 + ... + 9591.

It is an arithmetic number, because the mean of its divisors is an integer number (10400).

296856 is a Friedman number, since it can be written as 9*(8^5+6^(6/2)), using all its digits and the basic arithmetic operations.

2296856 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 296856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499200).

296856 is an abundant number, since it is smaller than the sum of its proper divisors (701544).

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

296856 is a wasteful number, since it uses less digits than its factorization.

296856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 62 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 296856 is about 544.8449320678. The cubic root of 296856 is about 66.7086180401.

The spelling of 296856 in words is "two hundred ninety-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 31 36 38 42 56 57 62 63 72 76 84 93 114 124 126 133 152 168 171 186 217 228 248 252 266 279 342 372 399 434 456 504 532 558 589 651 684 744 798 868 1064 1116 1178 1197 1302 1368 1596 1736 1767 1953 2232 2356 2394 2604 3192 3534 3906 4123 4712 4788 5208 5301 7068 7812 8246 9576 10602 12369 14136 15624 16492 21204 24738 32984 37107 42408 49476 74214 98952 148428 296856