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38293 = 149257
BaseRepresentation
bin1001010110010101
31221112021
421112111
52211133
6453141
7216433
oct112625
957467
1038293
1126852
121a1b1
1314578
14dd53
15b52d
hex9595

38293 has 4 divisors (see below), whose sum is σ = 38700. Its totient is φ = 37888.

The previous prime is 38287. The next prime is 38299. The reversal of 38293 is 39283.

It is a happy number.

38293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 39283 = 163241.

It is an interprime number because it is at equal distance from previous prime (38287) and next prime (38299).

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 14884 = 153^2 + 122^2 .

It is a cyclic number.

It is not a de Polignac number, because 38293 - 25 = 38261 is a prime.

It is a Duffinian number.

38293 is an undulating number in base 16.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38299) 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, 21 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (9675).

238293 is an apocalyptic number.

It is an amenable number.

38293 is a deficient number, since it is larger than the sum of its proper divisors (407).

38293 is a wasteful number, since it uses less digits than its factorization.

38293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406.

The product of its digits is 1296, while the sum is 25.

The square root of 38293 is about 195.6859729260. The cubic root of 38293 is about 33.7059415952.

Subtracting 38293 from its reverse (39283), we obtain a triangular number (990 = T44).

The spelling of 38293 in words is "thirty-eight thousand, two hundred ninety-three".

Divisors: 1 149 257 38293