Search a number
-
+
395250 = 23531731
BaseRepresentation
bin1100000011111110010
3202002011220
41200133302
5100122000
612245510
73234222
oct1403762
9662156
10395250
1124aa59
12170896
1310ab9b
14a4082
157c1a0
hex607f2

395250 has 64 divisors (see below), whose sum is σ = 1078272. Its totient is φ = 96000.

The previous prime is 395243. The next prime is 395251. The reversal of 395250 is 52593.

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 395250.

It is not an unprimeable number, because it can be changed into a prime (395251) by changing a digit.

395250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12735 + ... + 12765.

It is an arithmetic number, because the mean of its divisors is an integer number (16848).

2395250 is an apocalyptic number.

395250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539136).

395250 is an abundant number, since it is smaller than the sum of its proper divisors (683022).

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

395250 is a wasteful number, since it uses less digits than its factorization.

395250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 395250 is about 628.6891123600. The cubic root of 395250 is about 73.3878153443.

The spelling of 395250 in words is "three hundred ninety-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 31 34 50 51 62 75 85 93 102 125 150 155 170 186 250 255 310 375 425 465 510 527 750 775 850 930 1054 1275 1550 1581 2125 2325 2550 2635 3162 3875 4250 4650 5270 6375 7750 7905 11625 12750 13175 15810 23250 26350 39525 65875 79050 131750 197625 395250