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287296 = 26672
BaseRepresentation
bin1000110001001000000
3112121002121
41012021000
533143141
610054024
72304412
oct1061100
9477077
10287296
11186939
1211a314
13a09c9
14769b2
155a1d1
hex46240

287296 has 21 divisors (see below), whose sum is σ = 578739. Its totient is φ = 141504.

The previous prime is 287291. The next prime is 287297. The reversal of 287296 is 692782.

The square root of 287296 is 536.

It is a perfect power (a square), and thus also a powerful number.

It is a d-powerful number, because it can be written as 28 + 86 + 214 + 7 + 93 + 65 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (287291) by changing a digit.

287296 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 (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4255 + ... + 4321.

It is an arithmetic number, because the mean of its divisors is an integer number (27559).

287296 is a Friedman number, since it can be written as (8*(79-6*2))^2, using all its digits and the basic arithmetic operations.

2287296 is an apocalyptic number.

287296 is the 536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287296

287296 is an abundant number, since it is smaller than the sum of its proper divisors (291443).

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

287296 is an frugal number, since it uses more digits than its factorization.

287296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 69 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The cubic root of 287296 is about 65.9846918889.

The spelling of 287296 in words is "two hundred eighty-seven thousand, two hundred ninety-six".