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4142032232 = 231389661677
BaseRepresentation
bin1111011011100010…
…0110010101101000
3101200122222001001012
43312320212111220
531440330012412
61523002043052
7204433456502
oct36670462550
911618861035
104142032232
111836084138
129771a9488
13510190a60
142b4166d72
1519397dc22
hexf6e26568

4142032232 has 64 divisors (see below), whose sum is σ = 8483000400. Its totient is φ = 1884579840.

The previous prime is 4142032231. The next prime is 4142032241. The reversal of 4142032232 is 2322302414.

It can be written as a sum of positive squares in 8 ways, for example, as 2683861636 + 1458170596 = 51806^2 + 38186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4142032198 and 4142032207.

It is not an unprimeable number, because it can be changed into a prime (4142032231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6117878 + ... + 6118554.

Almost surely, 24142032232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142032232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241500200).

4142032232 is an abundant number, since it is smaller than the sum of its proper divisors (4340968168).

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

4142032232 is a wasteful number, since it uses less digits than its factorization.

4142032232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4142032232 is about 64358.6220486424. The cubic root of 4142032232 is about 1605.9714659790.

Adding to 4142032232 its reverse (2322302414), we get a palindrome (6464334646).

The spelling of 4142032232 in words is "four billion, one hundred forty-two million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 661 677 712 1157 1322 1354 2314 2644 2708 4628 5288 5416 8593 8801 9256 17186 17602 34372 35204 58829 60253 68744 70408 117658 120506 235316 241012 447497 470632 482024 764777 783289 894994 1529554 1566578 1789988 3059108 3133156 3579976 5817461 6118216 6266312 11634922 23269844 39827233 46539688 79654466 159308932 318617864 517754029 1035508058 2071016116 4142032232