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287248 = 24131381
BaseRepresentation
bin1000110001000010000
3112121000211
41012020100
533142443
610053504
72304313
oct1061020
9477024
10287248
111868a5
1211a294
13a0990
147697a
155a19d
hex46210

287248 has 20 divisors (see below), whose sum is σ = 599788. Its totient is φ = 132480.

The previous prime is 287239. The next prime is 287251. The reversal of 287248 is 842782.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 204304 = 288^2 + 452^2 .

It is a super-2 number, since 2×2872482 = 165022827008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 483 + ... + 898.

2287248 is an apocalyptic number.

It is an amenable number.

287248 is an abundant number, since it is smaller than the sum of its proper divisors (312540).

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

287248 is a wasteful number, since it uses less digits than its factorization.

287248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1396 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 287248 is about 535.9552220102. The cubic root of 287248 is about 65.9810168852.

It can be divided in two parts, 287 and 248, that added together give a palindrome (535).

The spelling of 287248 in words is "two hundred eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 1381 2762 5524 11048 17953 22096 35906 71812 143624 287248