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287896 = 2375397
BaseRepresentation
bin1000110010010011000
3112121220211
41012102120
533203041
610100504
72306230
oct1062230
9477824
10287896
11187334
1211a734
13a106b
1476cc0
155a481
hex46498

287896 has 32 divisors (see below), whose sum is σ = 635040. Its totient is φ = 119808.

The previous prime is 287887. The next prime is 287921. The reversal of 287896 is 698782.

287896 = T8 + T9 + ... + T119.

It is a d-powerful number, because it can be written as 210 + 82 + 86 + 75 + 92 + 65 .

It is a congruent number.

It is an unprimeable number.

287896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2920 + ... + 3016.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2287896 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 287896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

287896 is an abundant number, since it is smaller than the sum of its proper divisors (347144).

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

287896 is a wasteful number, since it uses less digits than its factorization.

287896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 287896 is about 536.5594095718. The cubic root of 287896 is about 66.0305949367.

The spelling of 287896 in words is "two hundred eighty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 53 56 97 106 194 212 371 388 424 679 742 776 1358 1484 2716 2968 5141 5432 10282 20564 35987 41128 71974 143948 287896