Search a number
-
+
38718 = 234239
BaseRepresentation
bin1001011100111110
31222010000
421130332
52214333
6455130
7220611
oct113476
958100
1038718
11270a9
121a4a6
1314814
1410178
15b713
hex973e

38718 has 20 divisors (see below), whose sum is σ = 87120. Its totient is φ = 12852.

The previous prime is 38713. The next prime is 38723. The reversal of 38718 is 81783.

It is an interprime number because it is at equal distance from previous prime (38713) and next prime (38723).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38691 and 38700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38711) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 43 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (4356).

238718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43560).

38718 is an abundant number, since it is smaller than the sum of its proper divisors (48402).

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

38718 is a wasteful number, since it uses less digits than its factorization.

38718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 38718 is about 196.7688999817. The cubic root of 38718 is about 33.8301797369.

The spelling of 38718 in words is "thirty-eight thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 239 478 717 1434 2151 4302 6453 12906 19359 38718