Search a number
-
+
4441440 = 253519487
BaseRepresentation
bin10000111100010101100000
322100122111210
4100330111200
52114111230
6235110120
752515543
oct20742540
98318453
104441440
112563a13
1215a2340
13bc6793
1483885a
155caeb0
hex43c560

4441440 has 96 divisors (see below), whose sum is σ = 14757120. Its totient is φ = 1119744.

The previous prime is 4441439. The next prime is 4441441. The reversal of 4441440 is 441444.

It is an interprime number because it is at equal distance from previous prime (4441439) and next prime (4441441).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8877 + ... + 9363.

It is an arithmetic number, because the mean of its divisors is an integer number (153720).

Almost surely, 24441440 is an apocalyptic number.

4441440 is a gapful number since it is divisible by the number (40) 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 4441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378560).

4441440 is an abundant number, since it is smaller than the sum of its proper divisors (10315680).

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

4441440 is a wasteful number, since it uses less digits than its factorization.

4441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4441440 is about 2107.4724197484. The cubic root of 4441440 is about 164.3770819516.

Adding to 4441440 its reverse (441444), we get a palindrome (4882884).

The spelling of 4441440 in words is "four million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 487 570 608 760 912 974 1140 1461 1520 1824 1948 2280 2435 2922 3040 3896 4560 4870 5844 7305 7792 9120 9253 9740 11688 14610 15584 18506 19480 23376 27759 29220 37012 38960 46265 46752 55518 58440 74024 77920 92530 111036 116880 138795 148048 185060 222072 233760 277590 296096 370120 444144 555180 740240 888288 1110360 1480480 2220720 4441440