Search a number
-
+
4163412 = 2231131541
BaseRepresentation
bin1111111000011101010100
321211112010110
433320131110
52031212122
6225123020
750250141
oct17703524
97745113
104163412
112394040
121489470
13b2a076
147a53c8
1557390c
hex3f8754

4163412 has 24 divisors (see below), whose sum is σ = 10598112. Its totient is φ = 1261600.

The previous prime is 4163399. The next prime is 4163417. The reversal of 4163412 is 2143614.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4163417) 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 7 ways as a sum of consecutive naturals, for example, 15639 + ... + 15902.

It is an arithmetic number, because the mean of its divisors is an integer number (441588).

Almost surely, 24163412 is an apocalyptic number.

It is an amenable number.

4163412 is an abundant number, since it is smaller than the sum of its proper divisors (6434700).

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

4163412 is a wasteful number, since it uses less digits than its factorization.

4163412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31559 (or 31557 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 4163412 is about 2040.4440693143. Note that the first 3 decimals coincide. The cubic root of 4163412 is about 160.8729885722.

It can be divided in two parts, 416 and 3412, that added together give a triangular number (3828 = T87).

The spelling of 4163412 in words is "four million, one hundred sixty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 31541 63082 94623 126164 189246 346951 378492 693902 1040853 1387804 2081706 4163412