Search a number
-
+
4494096 = 2433101103
BaseRepresentation
bin10001001001001100010000
322110022202000
4101021030100
52122302341
6240154000
753125215
oct21111420
98408660
104494096
11259a532
121608900
13c14739
1484db0c
155db8b6
hex449310

4494096 has 80 divisors (see below), whose sum is σ = 13153920. Its totient is φ = 1468800.

The previous prime is 4494079. The next prime is 4494097. The reversal of 4494096 is 6904944.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4494096.

It is not an unprimeable number, because it can be changed into a prime (4494097) 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 15 ways as a sum of consecutive naturals, for example, 43581 + ... + 43683.

It is an arithmetic number, because the mean of its divisors is an integer number (164424).

Almost surely, 24494096 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 4494096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576960).

4494096 is an abundant number, since it is smaller than the sum of its proper divisors (8659824).

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

4494096 is a wasteful number, since it uses less digits than its factorization.

4494096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4494096 is about 2119.9283006743. The cubic root of 4494096 is about 165.0241287028.

The spelling of 4494096 in words is "four million, four hundred ninety-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 103 108 144 202 206 216 303 309 404 412 432 606 618 808 824 909 927 1212 1236 1616 1648 1818 1854 2424 2472 2727 2781 3636 3708 4848 4944 5454 5562 7272 7416 10403 10908 11124 14544 14832 20806 21816 22248 31209 41612 43632 44496 62418 83224 93627 124836 166448 187254 249672 280881 374508 499344 561762 749016 1123524 1498032 2247048 4494096