Search a number
-
+
4141144 = 237731013
BaseRepresentation
bin1111110011000001011000
321210101120201
433303001120
52030004034
6224431544
750125210
oct17630130
97711521
104141144
112379337
1214785b4
13b1cba7
1479b240
1556c014
hex3f3058

4141144 has 32 divisors (see below), whose sum is σ = 9004320. Its totient is φ = 1748736.

The previous prime is 4141133. The next prime is 4141147. The reversal of 4141144 is 4411414.

4141144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (4141147) 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 7 ways as a sum of consecutive naturals, for example, 3582 + ... + 4594.

It is an arithmetic number, because the mean of its divisors is an integer number (281385).

Almost surely, 24141144 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 4141144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502160).

4141144 is an abundant number, since it is smaller than the sum of its proper divisors (4863176).

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

4141144 is a wasteful number, since it uses less digits than its factorization.

4141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1095 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 4141144 is about 2034.9800981828. The cubic root of 4141144 is about 160.5856661044.

Adding to 4141144 its reverse (4411414), we get a palindrome (8552558).

The spelling of 4141144 in words is "four million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1013 1022 2026 2044 4052 4088 7091 8104 14182 28364 56728 73949 147898 295796 517643 591592 1035286 2070572 4141144