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38656 = 28151
BaseRepresentation
bin1001011100000000
31222000201
421130000
52214111
6454544
7220462
oct113400
958021
1038656
1127052
121a454
1314797
1410132
15b6c1
hex9700

38656 has 18 divisors (see below), whose sum is σ = 77672. Its totient is φ = 19200.

The previous prime is 38653. The next prime is 38669. The reversal of 38656 is 65683.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181 + ... + 331.

238656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38836).

38656 is an abundant number, since it is smaller than the sum of its proper divisors (39016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38656 is an equidigital number, since it uses as much as digits as its factorization.

38656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 38656 is about 196.6112916391. The cubic root of 38656 is about 33.8121124149.

The spelling of 38656 in words is "thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 604 1208 2416 4832 9664 19328 38656