Search a number
-
+
382000 = 2453191
BaseRepresentation
bin1011101010000110000
3201102000011
41131100300
544211000
612104304
73150463
oct1352060
9642004
10382000
11241003
12165094
13104b48
149d2da
15782ba
hex5d430

382000 has 40 divisors (see below), whose sum is σ = 928512. Its totient is φ = 152000.

The previous prime is 381991. The next prime is 382001. The reversal of 382000 is 283.

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

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (382001) 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, 1905 + ... + 2095.

2382000 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 382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).

382000 is an abundant number, since it is smaller than the sum of its proper divisors (546512).

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

382000 is a wasteful number, since it uses less digits than its factorization.

382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 382000 is about 618.0614856145. The cubic root of 382000 is about 72.5584150691.

Adding to 382000 its reverse (283), we get a palindrome (382283).

The spelling of 382000 in words is "three hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 191 200 250 382 400 500 764 955 1000 1528 1910 2000 3056 3820 4775 7640 9550 15280 19100 23875 38200 47750 76400 95500 191000 382000