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38116 = 2213733
BaseRepresentation
bin1001010011100100
31221021201
421103210
52204431
6452244
7216061
oct112344
957251
1038116
1126701
121a084
1314470
14dc68
15b461
hex94e4

38116 has 12 divisors (see below), whose sum is σ = 71932. Its totient is φ = 17568.

The previous prime is 38113. The next prime is 38119. The reversal of 38116 is 61183.

It is an interprime number because it is at equal distance from previous prime (38113) and next prime (38119).

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 14400 = 154^2 + 120^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 38093 and 38102.

It is not an unprimeable number, because it can be changed into a prime (38113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 315 + ... + 418.

238116 is an apocalyptic number.

It is an amenable number.

38116 is a deficient number, since it is larger than the sum of its proper divisors (33816).

38116 is a wasteful number, since it uses less digits than its factorization.

38116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 748 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 38116 is about 195.2331938990. The cubic root of 38116 is about 33.6539288915.

Adding to 38116 its reverse (61183), we get a palindrome (99299).

The spelling of 38116 in words is "thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 52 733 1466 2932 9529 19058 38116