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1282288 = 2471072
BaseRepresentation
bin100111001000011110000
32102010222011
410321003300
5312013123
643252304
713620310
oct4710360
92363864
101282288
117a6447
1251a094
1335b867
14255440
151a4e0d
hex1390f0

1282288 has 30 divisors (see below), whose sum is σ = 2866136. Its totient is φ = 544416.

The previous prime is 1282279. The next prime is 1282289. The reversal of 1282288 is 8822821.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282289) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11931 + ... + 12037.

21282288 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 1282288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433068).

1282288 is an abundant number, since it is smaller than the sum of its proper divisors (1583848).

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

1282288 is an equidigital number, since it uses as much as digits as its factorization.

1282288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 116 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 1282288 is about 1132.3815611356. The cubic root of 1282288 is about 108.6413597753.

The spelling of 1282288 in words is "one million, two hundred eighty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1498 1712 2996 5992 11449 11984 22898 45796 80143 91592 160286 183184 320572 641144 1282288