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4003812 = 2232111217
BaseRepresentation
bin1111010001011111100100
321112102012100
433101133210
52011110222
6221452100
746013631
oct17213744
97472170
104003812
11229513a
121411030
13aa2527
14763188
155414ac
hex3d17e4

4003812 has 18 divisors (see below), whose sum is σ = 10120838. Its totient is φ = 1334592.

The previous prime is 4003793. The next prime is 4003819. The reversal of 4003812 is 2183004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3779136 + 224676 = 1944^2 + 474^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4003819) 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 5 ways as a sum of consecutive naturals, for example, 55573 + ... + 55644.

Almost surely, 24003812 is an apocalyptic number.

It is an amenable number.

4003812 is an abundant number, since it is smaller than the sum of its proper divisors (6117026).

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

4003812 is a wasteful number, since it uses less digits than its factorization.

4003812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111227 (or 111222 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4003812 is about 2000.9527730559. The cubic root of 4003812 is about 158.7905156266.

Adding to 4003812 its product of nonzero digits (192), we get a palindrome (4004004).

Adding to 4003812 its reverse (2183004), we get a palindrome (6186816).

The spelling of 4003812 in words is "four million, three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 111217 222434 333651 444868 667302 1000953 1334604 2001906 4003812