Search a number
-
+
4142412 = 2232115067
BaseRepresentation
bin1111110011010101001100
321210110022200
433303111030
52030024122
6224441500
750132001
oct17632514
97713280
104142412
11237a28a
121479290
13b20641
1479b8a8
1556c5ac
hex3f354c

4142412 has 18 divisors (see below), whose sum is σ = 10471188. Its totient is φ = 1380792.

The previous prime is 4142401. The next prime is 4142417. The reversal of 4142412 is 2142414.

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

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 an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4142417) 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, 57498 + ... + 57569.

Almost surely, 24142412 is an apocalyptic number.

It is an amenable number.

4142412 is an abundant number, since it is smaller than the sum of its proper divisors (6328776).

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

4142412 is a wasteful number, since it uses less digits than its factorization.

4142412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115077 (or 115072 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4142412 is about 2035.2916252960. The cubic root of 4142412 is about 160.6020546390.

Adding to 4142412 its reverse (2142414), we get a palindrome (6284826).

It can be divided in two parts, 4142 and 412, that added together give a palindrome (4554).

The spelling of 4142412 in words is "four million, one hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 115067 230134 345201 460268 690402 1035603 1380804 2071206 4142412