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4238688 = 25367659
BaseRepresentation
bin10000001010110101100000
321222100101110
4100022311200
52041114223
6230503320
751012456
oct20126540
97870343
104238688
112435653
121504b40
13b553cc
147c49d6
1558ad93
hex40ad60

4238688 has 48 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 1389696.

The previous prime is 4238687. The next prime is 4238699. The reversal of 4238688 is 8868324.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×42386882 = 35932951922688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4238687) 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, 6103 + ... + 6761.

It is an arithmetic number, because the mean of its divisors is an integer number (235620).

Almost surely, 24238688 is an apocalyptic number.

4238688 is a gapful number since it is divisible by the number (48) 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 4238688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).

4238688 is an abundant number, since it is smaller than the sum of its proper divisors (7071072).

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

4238688 is a wasteful number, since it uses less digits than its factorization.

4238688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 4238688 is about 2058.8074217857. The cubic root of 4238688 is about 161.8367506513.

The spelling of 4238688 in words is "four million, two hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 659 804 1072 1318 1608 1977 2144 2636 3216 3954 5272 6432 7908 10544 15816 21088 31632 44153 63264 88306 132459 176612 264918 353224 529836 706448 1059672 1412896 2119344 4238688