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444442446 = 232723713619
BaseRepresentation
bin11010011111011…
…010011101001110
31010222022000102100
4122133122131032
51402234124241
6112033535530
714004461400
oct3237323516
91128260370
10444442446
11208970208
12104a145a6
13711021c6
1443052b70
15290419b6
hex1a7da74e

444442446 has 72 divisors (see below), whose sum is σ = 1150535880. Its totient is φ = 123542496.

The previous prime is 444442417. The next prime is 444442489. The reversal of 444442446 is 644244444.

It is a self number, because there is not a number n which added to its sum of digits gives 444442446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25825 + ... + 39443.

It is an arithmetic number, because the mean of its divisors is an integer number (15979665).

Almost surely, 2444442446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444442446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575267940).

444442446 is an abundant number, since it is smaller than the sum of its proper divisors (706093434).

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

444442446 is a wasteful number, since it uses less digits than its factorization.

444442446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13678 (or 13668 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

The square root of 444442446 is about 21081.8036704643. The cubic root of 444442446 is about 763.1416845433.

The spelling of 444442446 in words is "four hundred forty-four million, four hundred forty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1554 1813 2331 3626 4662 5439 10878 13619 16317 27238 32634 40857 81714 95333 122571 190666 245142 285999 503903 571998 667331 857997 1007806 1334662 1511709 1715994 2001993 3023418 3527321 4003986 4535127 6005979 7054642 9070254 10581963 12011958 21163926 24691247 31745889 49382494 63491778 74073741 148147482 222221223 444442446