Search a number
-
+
444650740 = 22541569953
BaseRepresentation
bin11010100000001…
…101010011110100
31010222200121010221
4122200031103310
51402312310430
6112042224124
714006316562
oct3240152364
91128617127
10444650740
11208aa2756
12104ab5044
1371175c61
14430a8a32
152908357a
hex1a80d4f4

444650740 has 48 divisors (see below), whose sum is σ = 959227920. Its totient is φ = 173035520.

The previous prime is 444650737. The next prime is 444650839. The reversal of 444650740 is 47056444.

It can be written as a sum of positive squares in 8 ways, for example, as 132987024 + 311663716 = 11532^2 + 17654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444650696 and 444650705.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 466104 + ... + 467056.

It is an arithmetic number, because the mean of its divisors is an integer number (19983915).

Almost surely, 2444650740 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 444650740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479613960).

444650740 is an abundant number, since it is smaller than the sum of its proper divisors (514577180).

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

444650740 is a wasteful number, since it uses less digits than its factorization.

444650740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 444650740 is about 21086.7432288630. The cubic root of 444650740 is about 763.2608848352.

The spelling of 444650740 in words is "four hundred forty-four million, six hundred fifty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 569 820 953 1138 1906 2276 2845 3812 4765 5690 9530 11380 19060 23329 39073 46658 78146 93316 116645 156292 195365 233290 390730 466580 542257 781460 1084514 2169028 2711285 5422570 10845140 22232537 44465074 88930148 111162685 222325370 444650740