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4144480 = 25525903
BaseRepresentation
bin1111110011110101100000
321210120011021
433303311200
52030110410
6224455224
750141014
oct17636540
97716137
104144480
11238089a
12147a514
13b21572
1479c544
1556ceda
hex3f3d60

4144480 has 24 divisors (see below), whose sum is σ = 9791712. Its totient is φ = 1657728.

The previous prime is 4144471. The next prime is 4144487. The reversal of 4144480 is 844414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12792 + ... + 13111.

It is an arithmetic number, because the mean of its divisors is an integer number (407988).

Almost surely, 24144480 is an apocalyptic number.

4144480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144480 is an abundant number, since it is smaller than the sum of its proper divisors (5647232).

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

4144480 is a wasteful number, since it uses less digits than its factorization.

4144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25918 (or 25910 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 4144480 is about 2035.7995972099. The cubic root of 4144480 is about 160.6287757696.

Adding to 4144480 its reverse (844414), we get a palindrome (4988894).

It can be divided in two parts, 4144 and 480, that added together give a square (4624 = 682).

The spelling of 4144480 in words is "four million, one hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25903 51806 103612 129515 207224 259030 414448 518060 828896 1036120 2072240 4144480