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4050080 = 255171489
BaseRepresentation
bin1111011100110010100000
321121202122222
433130302200
52014100310
6222450212
746265546
oct17346240
97552588
104050080
112316981
121433968
13aba5c8
14775d96
15550055
hex3dcca0

4050080 has 48 divisors (see below), whose sum is σ = 10137960. Its totient is φ = 1523712.

The previous prime is 4050077. The next prime is 4050089. The reversal of 4050080 is 800504.

4050080 = T471 + T472 + ... + T504.

4050080 is nontrivially palindromic in base 15.

4050080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3225616 + 824464 = 1796^2 + 908^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4050089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1976 + ... + 3464.

Almost surely, 24050080 is an apocalyptic number.

4050080 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 4050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068980).

4050080 is an abundant number, since it is smaller than the sum of its proper divisors (6087880).

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

4050080 is a wasteful number, since it uses less digits than its factorization.

4050080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4050080 is about 2012.4810558115. The cubic root of 4050080 is about 159.3998349098.

Adding to 4050080 its reverse (800504), we get a palindrome (4850584).

It can be divided in two parts, 40500 and 80, that multiplied together give a square (3240000 = 18002).

The spelling of 4050080 in words is "four million, fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 1489 2720 2978 5956 7445 11912 14890 23824 25313 29780 47648 50626 59560 101252 119120 126565 202504 238240 253130 405008 506260 810016 1012520 2025040 4050080