Search a number
-
+
38000 = 245319
BaseRepresentation
bin1001010001110000
31221010102
421101300
52204000
6451532
7215534
oct112160
957112
1038000
1126606
1219ba8
13143b1
14dbc4
15b3d5
hex9470

38000 has 40 divisors (see below), whose sum is σ = 96720. Its totient is φ = 14400.

The previous prime is 37997. The next prime is 38011. The reversal of 38000 is 83.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1991 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (2418).

238000 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 38000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360).

38000 is an abundant number, since it is smaller than the sum of its proper divisors (58720).

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

38000 is a wasteful number, since it uses less digits than its factorization.

38000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 38000 is about 194.9358868962. The cubic root of 38000 is about 33.6197540680.

Adding to 38000 its reverse (83), we get a palindrome (38083).

The spelling of 38000 in words is "thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000