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4225344 = 26359373
BaseRepresentation
bin10000000111100101000000
321221200002020
4100013211000
52040202334
6230321440
750625534
oct20074500
97850066
104225344
112426622
1214b9280
13b4c306
147bdbc4
15586e49
hex407940

4225344 has 56 divisors (see below), whose sum is σ = 11399520. Its totient is φ = 1380864.

The previous prime is 4225339. The next prime is 4225357. The reversal of 4225344 is 4435224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4 + 25 + 213 + 55 + 39 + 4 + 411 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11142 + ... + 11514.

Almost surely, 24225344 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 4225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699760).

4225344 is an abundant number, since it is smaller than the sum of its proper divisors (7174176).

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

4225344 is a wasteful number, since it uses less digits than its factorization.

4225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its digits is 3840, while the sum is 24.

The square root of 4225344 is about 2055.5641561382. The cubic root of 4225344 is about 161.6667436615. Note that the first 3 decimals are identical.

The spelling of 4225344 in words is "four million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 373 472 708 746 944 1119 1416 1492 1888 2238 2832 2984 3776 4476 5664 5968 8952 11328 11936 17904 22007 23872 35808 44014 66021 71616 88028 132042 176056 264084 352112 528168 704224 1056336 1408448 2112672 4225344