Search a number
-
+
446215364 = 227223312103
BaseRepresentation
bin11010100110001…
…011010011000100
31011002122002101222
4122212023103010
51403212342424
6112135535512
714025524300
oct3246132304
91132562358
10446215364
11209971231
1210552a598
13715a317a
1443394d00
1529291e5e
hex1a98b4c4

446215364 has 108 divisors (see below), whose sum is σ = 988932672. Its totient is φ = 175301280.

The previous prime is 446215351. The next prime is 446215369. The reversal of 446215364 is 463512644.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (446215369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4332137 + ... + 4332239.

It is an arithmetic number, because the mean of its divisors is an integer number (9156784).

Almost surely, 2446215364 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 446215364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494466336).

446215364 is an abundant number, since it is smaller than the sum of its proper divisors (542717308).

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

446215364 is a wasteful number, since it uses less digits than its factorization.

446215364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 166 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 446215364 is about 21123.8103570355. The cubic root of 446215364 is about 764.1550835090.

The spelling of 446215364 in words is "four hundred forty-six million, two hundred fifteen thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 31 46 49 62 92 98 103 124 161 196 206 217 322 412 434 644 713 721 868 961 1127 1426 1442 1519 1922 2254 2369 2852 2884 3038 3193 3844 4508 4738 4991 5047 6076 6386 6727 9476 9982 10094 12772 13454 16583 19964 20188 22103 22351 26908 33166 34937 44206 44702 47089 66332 69874 73439 88412 89404 94178 98983 116081 139748 146878 154721 156457 188356 197966 232162 293756 309442 312914 395932 464324 514073 618884 625828 692881 1028146 1083047 1385762 2056292 2166094 2276609 2771524 3598511 4332188 4553218 4850167 7197022 9106436 9700334 14394044 15936263 19400668 31872526 63745052 111553841 223107682 446215364