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4412016 = 243371459
BaseRepresentation
bin10000110101001001110000
322022011011000
4100311021300
52112141031
6234322000
752334010
oct20651160
98264130
104412016
1125438a4
121589300
13bb627b
1482bc40
155c23e6
hex435270

4412016 has 80 divisors (see below), whose sum is σ = 14483200. Its totient is φ = 1259712.

The previous prime is 4411963. The next prime is 4412033. The reversal of 4412016 is 6102144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 4412016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2295 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (181040).

Almost surely, 24412016 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 4412016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241600).

4412016 is an abundant number, since it is smaller than the sum of its proper divisors (10071184).

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

4412016 is a wasteful number, since it uses less digits than its factorization.

4412016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4412016 is about 2100.4799451554. The cubic root of 4412016 is about 164.0132846665.

The spelling of 4412016 in words is "four million, four hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1459 1512 2918 3024 4377 5836 8754 10213 11672 13131 17508 20426 23344 26262 30639 35016 39393 40852 52524 61278 70032 78786 81704 91917 105048 122556 157572 163408 183834 210096 245112 275751 315144 367668 490224 551502 630288 735336 1103004 1470672 2206008 4412016