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2282728 = 23740763
BaseRepresentation
bin1000101101010011101000
311021222022111
420231103220
51041021403
6120532104
725255120
oct10552350
94258274
102282728
11131a058
12921034
1361c036
14435c80
1530156d
hex22d4e8

2282728 has 16 divisors (see below), whose sum is σ = 4891680. Its totient is φ = 978288.

The previous prime is 2282719. The next prime is 2282737. The reversal of 2282728 is 8272822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2282719) and next prime (2282737).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2282728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20326 + ... + 20437.

It is an arithmetic number, because the mean of its divisors is an integer number (305730).

22282728 is an apocalyptic number.

2282728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2282728 is an abundant number, since it is smaller than the sum of its proper divisors (2608952).

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

2282728 is a wasteful number, since it uses less digits than its factorization.

2282728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40776 (or 40772 counting only the distinct ones).

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

The square root of 2282728 is about 1510.8699480763. The cubic root of 2282728 is about 131.6693592000.

The spelling of 2282728 in words is "two million, two hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 40763 81526 163052 285341 326104 570682 1141364 2282728