Search a number
-
+
406244200 = 235216712163
BaseRepresentation
bin11000001101101…
…100101101101000
31001022102100021111
4120031230231220
51312444303300
6104151120104
713032006265
oct3015545550
91038370244
10406244200
1119935030a
12b4073034
13662197ab
143bd4c26c
15259e89ba
hex1836cb68

406244200 has 48 divisors (see below), whose sum is σ = 950251680. Its totient is φ = 161511360.

The previous prime is 406244191. The next prime is 406244213. The reversal of 406244200 is 2442604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27319 + ... + 39481.

It is an arithmetic number, because the mean of its divisors is an integer number (19796910).

Almost surely, 2406244200 is an apocalyptic number.

406244200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475125840).

406244200 is an abundant number, since it is smaller than the sum of its proper divisors (544007480).

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

406244200 is a wasteful number, since it uses less digits than its factorization.

406244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12346 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 406244200 is about 20155.5004899407. The cubic root of 406244200 is about 740.6204924744.

Adding to 406244200 its reverse (2442604), we get a palindrome (408686804).

The spelling of 406244200 in words is "four hundred six million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 1336 1670 3340 4175 6680 8350 12163 16700 24326 33400 48652 60815 97304 121630 243260 304075 486520 608150 1216300 2031221 2432600 4062442 8124884 10156105 16249768 20312210 40624420 50780525 81248840 101561050 203122100 406244200