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4424080 = 245173253
BaseRepresentation
bin10000111000000110010000
322022202200211
4100320012100
52113032310
6234453504
752414123
oct20700620
98282624
104424080
112551971
121594294
13bbb8cb
148323ba
155c5c8a
hex438190

4424080 has 40 divisors (see below), whose sum is σ = 10894392. Its totient is φ = 1665024.

The previous prime is 4424059. The next prime is 4424083. The reversal of 4424080 is 804244.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 2027776 = 1548^2 + 1424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424083) 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, 267 + ... + 2986.

Almost surely, 24424080 is an apocalyptic number.

4424080 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 4424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447196).

4424080 is an abundant number, since it is smaller than the sum of its proper divisors (6470312).

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

4424080 is a wasteful number, since it uses less digits than its factorization.

4424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4424080 is about 2103.3497093921. The cubic root of 4424080 is about 164.1626385789.

The spelling of 4424080 in words is "four million, four hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 3253 6506 13012 16265 26024 32530 52048 55301 65060 110602 130120 221204 260240 276505 442408 553010 884816 1106020 2212040 4424080