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444468156 = 2231110731469
BaseRepresentation
bin11010011111100…
…000101110111100
31010222100022200120
4122133200232330
51402240440111
6112034254540
714004626346
oct3237405674
91128308616
10444468156
11208988560
12104a27450
1371110b12
144305c296
1529049406
hex1a7e0bbc

444468156 has 48 divisors (see below), whose sum is σ = 1141983360. Its totient is φ = 133424320.

The previous prime is 444468149. The next prime is 444468187. The reversal of 444468156 is 651864444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1611 + ... + 29858.

It is an arithmetic number, because the mean of its divisors is an integer number (23791320).

Almost surely, 2444468156 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 444468156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570991680).

444468156 is an abundant number, since it is smaller than the sum of its proper divisors (697515204).

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

444468156 is a wasteful number, since it uses less digits than its factorization.

444468156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31594 (or 31592 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 444468156 is about 21082.4134292068. The cubic root of 444468156 is about 763.1563996052.

The spelling of 444468156 in words is "four hundred forty-four million, four hundred sixty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 7062 14124 31469 62938 94407 125876 188814 346159 377628 692318 1038477 1384636 2076954 3367183 4153908 6734366 10101549 13468732 20203098 37039013 40406196 74078026 111117039 148156052 222234078 444468156