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4141332 = 2232138849
BaseRepresentation
bin1111110011000100010100
321210101211200
433303010110
52030010312
6224432500
750125566
oct17630424
97711750
104141332
112379498
121478730
13b1ccc0
1479b336
1556c0dc
hex3f3114

4141332 has 36 divisors (see below), whose sum is σ = 11274900. Its totient is φ = 1274112.

The previous prime is 4141331. The next prime is 4141339. The reversal of 4141332 is 2331414.

4141332 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 2 ways, for example, as 197136 + 3944196 = 444^2 + 1986^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141331) 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 11 ways as a sum of consecutive naturals, for example, 3957 + ... + 4892.

Almost surely, 24141332 is an apocalyptic number.

It is an amenable number.

4141332 is an abundant number, since it is smaller than the sum of its proper divisors (7133568).

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

4141332 is a wasteful number, since it uses less digits than its factorization.

4141332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8872 (or 8867 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4141332 is about 2035.0262897565. The cubic root of 4141332 is about 160.5880961614.

Adding to 4141332 its reverse (2331414), we get a palindrome (6472746).

The spelling of 4141332 in words is "four million, one hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8849 17698 26547 35396 53094 79641 106188 115037 159282 230074 318564 345111 460148 690222 1035333 1380444 2070666 4141332