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238292 = 22411453
BaseRepresentation
bin111010001011010100
3110002212122
4322023110
530111132
65035112
72011505
oct721324
9402778
10238292
1115303a
12b5a98
1384602
1462bac
154a912
hex3a2d4

238292 has 12 divisors (see below), whose sum is σ = 427476. Its totient is φ = 116160.

The previous prime is 238291. The next prime is 238307. The reversal of 238292 is 292832.

238292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126736 + 111556 = 356^2 + 334^2 .

It is a d-powerful number, because it can be written as 23 + 311 + 25 + 8 + 95 + 211 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238291) 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, 563 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (35623).

2238292 is an apocalyptic number.

It is an amenable number.

238292 is a deficient number, since it is larger than the sum of its proper divisors (189184).

238292 is a wasteful number, since it uses less digits than its factorization.

238292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1496 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 238292 is about 488.1516157917. The cubic root of 238292 is about 61.9968780946.

It can be divided in two parts, 238 and 292, that multiplied together give a palindrome (69496).

The spelling of 238292 in words is "two hundred thirty-eight thousand, two hundred ninety-two".

Divisors: 1 2 4 41 82 164 1453 2906 5812 59573 119146 238292