Search a number
-
+
4362112 = 2753643
BaseRepresentation
bin10000101000111110000000
322012121200201
4100220332000
52104041422
6233254544
752035346
oct20507600
98177621
104362112
11250a357
121564454
13b99641
14817996
155b2727
hex428f80

4362112 has 32 divisors (see below), whose sum is σ = 8867880. Its totient is φ = 2136576.

The previous prime is 4362109. The next prime is 4362119. The reversal of 4362112 is 2112634.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×43621122 = 38056042201088, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4362112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4362119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6463 + ... + 7105.

Almost surely, 24362112 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 4362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433940).

4362112 is an abundant number, since it is smaller than the sum of its proper divisors (4505768).

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

4362112 is an equidigital number, since it uses as much as digits as its factorization.

4362112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 698 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 4362112 is about 2088.5669728309. The cubic root of 4362112 is about 163.3925575409.

Adding to 4362112 its reverse (2112634), we get a palindrome (6474746).

The spelling of 4362112 in words is "four million, three hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 643 848 1286 1696 2572 3392 5144 6784 10288 20576 34079 41152 68158 82304 136316 272632 545264 1090528 2181056 4362112