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38545 = 513593
BaseRepresentation
bin1001011010010001
31221212121
421122101
52213140
6454241
7220243
oct113221
957777
1038545
1126a61
121a381
1314710
1410093
15b64a
hex9691

38545 has 8 divisors (see below), whose sum is σ = 49896. Its totient is φ = 28416.

The previous prime is 38543. The next prime is 38557. The reversal of 38545 is 54583.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 37249 = 36^2 + 193^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38545 - 21 = 38543 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (38543) 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 7 ways as a sum of consecutive naturals, for example, 232 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (6237).

238545 is an apocalyptic number.

It is an amenable number.

38545 is a deficient number, since it is larger than the sum of its proper divisors (11351).

38545 is a wasteful number, since it uses less digits than its factorization.

38545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611.

The product of its digits is 2400, while the sum is 25.

The square root of 38545 is about 196.3288058335. The cubic root of 38545 is about 33.7797177665.

The spelling of 38545 in words is "thirty-eight thousand, five hundred forty-five".

Divisors: 1 5 13 65 593 2965 7709 38545