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38627 = 192107
BaseRepresentation
bin1001011011100011
31221222122
421123203
52214002
6454455
7220421
oct113343
957878
1038627
1127026
121a42b
1314774
1410111
15b6a2
hex96e3

38627 has 6 divisors (see below), whose sum is σ = 41148. Its totient is φ = 36252.

The previous prime is 38611. The next prime is 38629. The reversal of 38627 is 72683.

It is not a de Polignac number, because 38627 - 24 = 38611 is a prime.

It is a Duffinian number.

Its product of digits (2016) is a multiple of the sum of its prime divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 38596 and 38605.

It is not an unprimeable number, because it can be changed into a prime (38629) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 308 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (6858).

238627 is an apocalyptic number.

38627 is a deficient number, since it is larger than the sum of its proper divisors (2521).

38627 is a wasteful number, since it uses less digits than its factorization.

38627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 38627 is about 196.5375282230. The cubic root of 38627 is about 33.8036549390.

The spelling of 38627 in words is "thirty-eight thousand, six hundred twenty-seven".

Divisors: 1 19 107 361 2033 38627