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38036 = 2237257
BaseRepresentation
bin1001010010010100
31221011202
421102110
52204121
6452032
7215615
oct112224
957152
1038036
1126639
121a018
131440b
14dc0c
15b40b
hex9494

38036 has 12 divisors (see below), whose sum is σ = 68628. Its totient is φ = 18432.

The previous prime is 38011. The next prime is 38039. The reversal of 38036 is 63083.

It can be written as a sum of positive squares in 2 ways, for example, as 36100 + 1936 = 190^2 + 44^2 .

38036 is an undulating number in base 16.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 37999 and 38017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38039) by changing a digit.

38036 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 3 ways as a sum of consecutive naturals, for example, 20 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (5719).

238036 is an apocalyptic number.

It is an amenable number.

38036 is a deficient number, since it is larger than the sum of its proper divisors (30592).

38036 is a wasteful number, since it uses less digits than its factorization.

38036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 38036 is about 195.0282030887. The cubic root of 38036 is about 33.6303674815.

The spelling of 38036 in words is "thirty-eight thousand, thirty-six".

Divisors: 1 2 4 37 74 148 257 514 1028 9509 19018 38036