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38288 = 242393
BaseRepresentation
bin1001010110010000
31221112002
421112100
52211123
6453132
7216425
oct112620
957462
1038288
1126848
121a1a8
1314573
14dd4c
15b528
hex9590

38288 has 10 divisors (see below), whose sum is σ = 74214. Its totient is φ = 19136.

The previous prime is 38287. The next prime is 38299. The reversal of 38288 is 88283.

It can be written as a sum of positive squares in only one way, i.e., 21904 + 16384 = 148^2 + 128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38288.

It is not an unprimeable number, because it can be changed into a prime (38281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1181 + ... + 1212.

238288 is an apocalyptic number.

It is an amenable number.

38288 is a deficient number, since it is larger than the sum of its proper divisors (35926).

38288 is a wasteful number, since it uses less digits than its factorization.

38288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2395 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 38288 is about 195.6731969382. The cubic root of 38288 is about 33.7044745120.

The spelling of 38288 in words is "thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 2393 4786 9572 19144 38288