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4113612 = 223341929
BaseRepresentation
bin1111101100010011001100
321201222211000
433230103030
52023113422
6224100300
746652016
oct17542314
97658730
104113612
11235a688
121464690
13b104b9
147911b6
15563cac
hex3ec4cc

4113612 has 48 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 1336320.

The previous prime is 4113611. The next prime is 4113647. The reversal of 4113612 is 2163114.

It is a happy number.

4113612 is a `hidden beast` number, since 41 + 13 + 612 = 666.

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 not an unprimeable number, because it can be changed into a prime (4113611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3964 + ... + 4892.

It is an arithmetic number, because the mean of its divisors is an integer number (227850).

Almost surely, 24113612 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 4113612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

4113612 is an abundant number, since it is smaller than the sum of its proper divisors (6823188).

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

4113612 is a wasteful number, since it uses less digits than its factorization.

4113612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4113612 is about 2028.2041317382. The cubic root of 4113612 is about 160.2289950183.

Adding to 4113612 its reverse (2163114), we get a palindrome (6276726).

The spelling of 4113612 in words is "four million, one hundred thirteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 929 1107 1476 1858 2214 2787 3716 4428 5574 8361 11148 16722 25083 33444 38089 50166 76178 100332 114267 152356 228534 342801 457068 685602 1028403 1371204 2056806 4113612