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38883 = 313997
BaseRepresentation
bin1001011111100011
31222100010
421133203
52221013
6500003
7221235
oct113743
958303
1038883
1127239
121a603
1314910
1410255
15b7c3
hex97e3

38883 has 8 divisors (see below), whose sum is σ = 55888. Its totient is φ = 23904.

The previous prime is 38873. The next prime is 38891.

It can be divided in two parts, 3888 and 3, that multiplied together give a square (11664 = 1082).

38883 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 38883 - 24 = 38867 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (6986).

238883 is an apocalyptic number.

38883 is a deficient number, since it is larger than the sum of its proper divisors (17005).

38883 is a wasteful number, since it uses less digits than its factorization.

38883 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013.

The product of its digits is 4608, while the sum is 30.

The square root of 38883 is about 197.1877278129. The cubic root of 38883 is about 33.8781683470.

The spelling of 38883 in words is "thirty-eight thousand, eight hundred eighty-three".

Divisors: 1 3 13 39 997 2991 12961 38883