Search a number
-
+
283257 = 3413269
BaseRepresentation
bin1000101001001111001
3112101120000
41011021321
533031012
610023213
72256552
oct1051171
9471500
10283257
111838a7
12117b09
139bc10
1475329
1558ddc
hex45279

283257 has 20 divisors (see below), whose sum is σ = 457380. Its totient is φ = 173664.

The previous prime is 283211. The next prime is 283267. The reversal of 283257 is 752382.

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 254016 = 171^2 + 504^2 .

It is not a de Polignac number, because 283257 - 26 = 283193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 22 + 84 + 218 + 34 + 53 + 75 .

It is a self number, because there is not a number n which added to its sum of digits gives 283257.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 283257.

It is not an unprimeable number, because it can be changed into a prime (283207) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 919 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2283257 is an apocalyptic number.

283257 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

283257 is a deficient number, since it is larger than the sum of its proper divisors (174123).

283257 is a wasteful number, since it uses less digits than its factorization.

283257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 283257 is about 532.2189399110. The cubic root of 283257 is about 65.6740123653.

The spelling of 283257 in words is "two hundred eighty-three thousand, two hundred fifty-seven".

Divisors: 1 3 9 13 27 39 81 117 269 351 807 1053 2421 3497 7263 10491 21789 31473 94419 283257