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4493412 = 22327111621
BaseRepresentation
bin10001001001000001100100
322110021210200
4101021001210
52122242122
6240150500
753123220
oct21110144
98407720
104493412
112599a70
121608430
13c14331
1484d780
155db5ac
hex449064

4493412 has 72 divisors (see below), whose sum is σ = 14169792. Its totient is φ = 1166400.

The previous prime is 4493407. The next prime is 4493413. The reversal of 4493412 is 2143944.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4493413) 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 23 ways as a sum of consecutive naturals, for example, 1962 + ... + 3582.

Almost surely, 24493412 is an apocalyptic number.

4493412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4493412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084896).

4493412 is an abundant number, since it is smaller than the sum of its proper divisors (9676380).

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

4493412 is a wasteful number, since it uses less digits than its factorization.

4493412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1644 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4493412 is about 2119.7669683246. The cubic root of 4493412 is about 165.0157560711.

The spelling of 4493412 in words is "four million, four hundred ninety-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1621 2772 3242 4863 6484 9726 11347 14589 17831 19452 22694 29178 34041 35662 45388 53493 58356 68082 71324 102123 106986 124817 136164 160479 204246 213972 249634 320958 374451 408492 499268 641916 748902 1123353 1497804 2246706 4493412