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282772 = 22710099
BaseRepresentation
bin1000101000010010100
3112100220001
41011002110
533022042
610021044
72255260
oct1050224
9470801
10282772
111834a6
12117784
139b929
14750a0
1558bb7
hex45094

282772 has 12 divisors (see below), whose sum is σ = 565600. Its totient is φ = 121176.

The previous prime is 282769. The next prime is 282773. The reversal of 282772 is 277282.

282772 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 10099 = 282772 / (2 + 8 + 2 + 7 + 7 + 2).

282772 is a modest number, since divided by 2772 gives 28 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 282772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282773) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5022 + ... + 5077.

2282772 is an apocalyptic number.

It is an amenable number.

282772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

282772 is a wasteful number, since it uses less digits than its factorization.

282772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110 (or 10108 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 282772 is about 531.7631051512. The cubic root of 282772 is about 65.6365080347.

The spelling of 282772 in words is "two hundred eighty-two thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 10099 20198 40396 70693 141386 282772