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987288 = 233311327
BaseRepresentation
bin11110001000010011000
31212011022020
43301002120
5223043123
633054440
711251251
oct3610230
91764266
10987288
11614845
123b7420
132874c3
141b9b28
151477e3
hexf1098

987288 has 32 divisors (see below), whose sum is σ = 2549760. Its totient is φ = 318240.

The previous prime is 987251. The next prime is 987293. The reversal of 987288 is 882789.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

987288 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 7 ways as a sum of consecutive naturals, for example, 81 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (79680).

2987288 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 987288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274880).

987288 is an abundant number, since it is smaller than the sum of its proper divisors (1562472).

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

987288 is a wasteful number, since it uses less digits than its factorization.

987288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1363 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 987288 is about 993.6236712156. The cubic root of 987288 is about 99.5744583786.

It can be divided in two parts, 987 and 288, that added together give a triangular number (1275 = T50).

The spelling of 987288 in words is "nine hundred eighty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1327 2654 3981 5308 7962 10616 15924 31848 41137 82274 123411 164548 246822 329096 493644 987288