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4444960 = 255132137
BaseRepresentation
bin10000111101001100100000
322100211100011
4100331030200
52114214320
6235134304
752532032
oct20751440
98324304
104444960
112566623
1215a4394
13bc8270
14839c52
155cc05a
hex43d320

4444960 has 48 divisors (see below), whose sum is σ = 11314296. Its totient is φ = 1640448.

The previous prime is 4444949. The next prime is 4444967. The reversal of 4444960 is 694444.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 2917264 = 1236^2 + 1708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444967) 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, 1012 + ... + 3148.

Almost surely, 24444960 is an apocalyptic number.

4444960 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 4444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657148).

4444960 is an abundant number, since it is smaller than the sum of its proper divisors (6869336).

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

4444960 is a wasteful number, since it uses less digits than its factorization.

4444960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 4444960 is about 2108.3073779694. The cubic root of 4444960 is about 164.4204953896.

The spelling of 4444960 in words is "four million, four hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2137 4274 8548 10685 17096 21370 27781 34192 42740 55562 68384 85480 111124 138905 170960 222248 277810 341920 444496 555620 888992 1111240 2222480 4444960