4050 has 30 divisors (see below), whose sum is σ = 11253. Its totient is φ = 1080.

The previous prime is 4049. The next prime is 4051. The reversal of 4050 is 504.

4050 = T_{4} + T_{5} + ... +
T_{28}.

It is an interprime number because it is at equal distance from previous prime (4049) and next prime (4051).

It can be written as a sum of positive squares in 2 ways, for example, as 3969 + 81 = 63^2 + 9^2 .

It is a tau number, because it is divible by the number of its divisors (30).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=45.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a nialpdrome in base 8, base 9 and base 16.

It is a zygodrome in base 5, base 8 and base 9.

It is not an unprimeable number, because it can be changed into a prime (4051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 808 + ... + 812.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050

4050 is an abundant number, since it is smaller than the sum of its proper divisors (7203).

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

4050 is a wasteful number, since it uses less digits than its factorization.

4050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 4050 is about 63.6396103068. The cubic root of 4050 is about 15.9398785377.

Adding to 4050 its reverse (504), we get a palindrome (4554).

The spelling of 4050 in words is "four thousand, fifty", and thus it is an eban number.

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050

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