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4213144 = 2313172383
BaseRepresentation
bin10000000100100110011000
321221001100101
4100010212120
52034310034
6230145144
750545135
oct20044630
97831311
104213144
112418441
1214b21b4
13b468b0
147b958c
15583514
hex404998

4213144 has 32 divisors (see below), whose sum is σ = 9011520. Its totient is φ = 1829376.

The previous prime is 4213141. The next prime is 4213147. The reversal of 4213144 is 4413124.

It is an interprime number because it is at equal distance from previous prime (4213141) and next prime (4213147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 2959.

It is an arithmetic number, because the mean of its divisors is an integer number (281610).

Almost surely, 24213144 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 4213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505760).

4213144 is an abundant number, since it is smaller than the sum of its proper divisors (4798376).

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

4213144 is a wasteful number, since it uses less digits than its factorization.

4213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2415 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 4213144 is about 2052.5944558047. The cubic root of 4213144 is about 161.5109981104.

Adding to 4213144 its reverse (4413124), we get a palindrome (8626268).

The spelling of 4213144 in words is "four million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2383 4766 9532 19064 30979 40511 61958 81022 123916 162044 247832 324088 526643 1053286 2106572 4213144