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4238500 = 225372173
BaseRepresentation
bin10000001010110010100100
321222100010111
4100022302210
52041113000
6230502404
751012100
oct20126244
97870114
104238500
1124354a2
121504a04
13b552b6
147c4900
1558acba
hex40aca4

4238500 has 72 divisors (see below), whose sum is σ = 10830456. Its totient is φ = 1444800.

The previous prime is 4238459. The next prime is 4238513. The reversal of 4238500 is 58324.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 4235364 = 56^2 + 2058^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24414 + ... + 24586.

It is an arithmetic number, because the mean of its divisors is an integer number (150423).

Almost surely, 24238500 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 4238500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415228).

4238500 is an abundant number, since it is smaller than the sum of its proper divisors (6591956).

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

4238500 is a wasteful number, since it uses less digits than its factorization.

4238500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4238500 is about 2058.7617637794. The cubic root of 4238500 is about 161.8343579488.

The spelling of 4238500 in words is "four million, two hundred thirty-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 173 175 196 245 250 346 350 490 500 692 700 865 875 980 1211 1225 1730 1750 2422 2450 3460 3500 4325 4844 4900 6055 6125 8477 8650 12110 12250 16954 17300 21625 24220 24500 30275 33908 42385 43250 60550 84770 86500 121100 151375 169540 211925 302750 423850 605500 847700 1059625 2119250 4238500