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4425344 = 27711449
BaseRepresentation
bin10000111000011010000000
322022211102122
4100320122000
52113102334
6234503412
752420610
oct20703200
98284378
104425344
112552910
121594b68
13bbc361
14832a40
155c632e
hex438680

4425344 has 64 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 1720320.

The previous prime is 4425329. The next prime is 4425349. The reversal of 4425344 is 4435244.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4425349) by changing a digit.

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, 9632 + ... + 10080.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 24425344 is an apocalyptic number.

4425344 is a gapful number since it is divisible by the number (44) 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 4425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

4425344 is an abundant number, since it is smaller than the sum of its proper divisors (6590656).

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

4425344 is a wasteful number, since it uses less digits than its factorization.

4425344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

The product of its digits is 7680, while the sum is 26.

The square root of 4425344 is about 2103.6501610296. The cubic root of 4425344 is about 164.1782713445.

It can be divided in two parts, 44 and 25344, that multiplied together give a square (1115136 = 10562).

The spelling of 4425344 in words is "four million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 449 616 704 896 898 1232 1408 1796 2464 3143 3592 4928 4939 6286 7184 9856 9878 12572 14368 19756 25144 28736 34573 39512 50288 57472 69146 79024 100576 138292 158048 201152 276584 316096 402304 553168 632192 1106336 2212672 4425344