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492228 = 2232112113
BaseRepresentation
bin1111000001011000100
3221000012200
41320023010
5111222403
614314500
74120032
oct1701304
9830180
10492228
11306900
121b8a30
13143079
14cb552
159aca3
hex782c4

492228 has 54 divisors (see below), whose sum is σ = 1379742. Its totient is φ = 147840.

The previous prime is 492227. The next prime is 492251. The reversal of 492228 is 822294.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 213444 = 528^2 + 462^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (492227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4300 + ... + 4412.

2492228 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 492228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689871).

492228 is an abundant number, since it is smaller than the sum of its proper divisors (887514).

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

492228 is a wasteful number, since it uses less digits than its factorization.

492228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 492228 is about 701.5896236405. The cubic root of 492228 is about 78.9566605203.

It can be divided in two parts, 4922 and 28, that added together give a triangular number (4950 = T99).

The spelling of 492228 in words is "four hundred ninety-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 121 132 198 226 242 339 363 396 452 484 678 726 1017 1089 1243 1356 1452 2034 2178 2486 3729 4068 4356 4972 7458 11187 13673 14916 22374 27346 41019 44748 54692 82038 123057 164076 246114 492228