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298116 = 223272132
BaseRepresentation
bin1001000110010000100
3120010221100
41020302010
534014431
610220100
72351100
oct1106204
9503840
10298116
11193a85
12124630
13a5900
147a900
155d4e6
hex48c84

298116 has 81 divisors (see below), whose sum is σ = 949221. Its totient is φ = 78624.

The previous prime is 298099. The next prime is 298153. The reversal of 298116 is 611892.

The square root of 298116 is 546.

It is a perfect power (a square), and thus also a powerful number.

298116 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 254016 = 210^2 + 504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 298116.

It is an unprimeable number.

298116 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 26 ways as a sum of consecutive naturals, for example, 22926 + ... + 22938.

298116 is a Friedman number, since it can be written as ((82+9)*6)^(1+1), using all its digits and the basic arithmetic operations.

2298116 is an apocalyptic number.

298116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

298116 is the 546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 298116

298116 is an abundant number, since it is smaller than the sum of its proper divisors (651105).

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

298116 is a wasteful number, since it uses less digits than its factorization.

298116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 25 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The cubic root of 298116 is about 66.8028660011.

It can be divided in two parts, 298 and 116, that added together give a palindrome (414).

The spelling of 298116 in words is "two hundred ninety-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 169 182 196 234 252 273 294 338 364 441 468 507 546 588 637 676 819 882 1014 1092 1183 1274 1521 1638 1764 1911 2028 2366 2548 3042 3276 3549 3822 4732 5733 6084 7098 7644 8281 10647 11466 14196 16562 21294 22932 24843 33124 42588 49686 74529 99372 149058 298116