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4089344 = 2972163
BaseRepresentation
bin1111100110011000000000
321200202112012
433212120000
52021324334
6223352052
746521200
oct17463000
97622465
104089344
112343426
121452628
13b0243c
14786400
1555b9ce
hex3e6600

4089344 has 60 divisors (see below), whose sum is σ = 9563004. Its totient is φ = 1741824.

The previous prime is 4089341. The next prime is 4089347. The reversal of 4089344 is 4439804.

It is an interprime number because it is at equal distance from previous prime (4089341) and next prime (4089347).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4089344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4089341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25007 + ... + 25169.

Almost surely, 24089344 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 4089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781502).

4089344 is an abundant number, since it is smaller than the sum of its proper divisors (5473660).

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

4089344 is an equidigital number, since it uses as much as digits as its factorization.

4089344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 4089344 is about 2022.2126495500. The cubic root of 4089344 is about 159.9132863465.

The spelling of 4089344 in words is "four million, eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 163 196 224 256 326 392 448 512 652 784 896 1141 1304 1568 1792 2282 2608 3136 3584 4564 5216 6272 7987 9128 10432 12544 15974 18256 20864 25088 31948 36512 41728 63896 73024 83456 127792 146048 255584 292096 511168 584192 1022336 2044672 4089344