Search a number
-
+
440143616 = 28111491049
BaseRepresentation
bin11010001111000…
…000111100000000
31010200012121112102
4122033000330000
51400134043431
6111401445532
713623105353
oct3217007400
91120177472
10440143616
112064a4460
121034a08a8
1370258613
144265429a
1528992dcb
hex1a3c0f00

440143616 has 72 divisors (see below), whose sum is σ = 965790000. Its totient is φ = 198533120.

The previous prime is 440143603. The next prime is 440143631. The reversal of 440143616 is 616341044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419060 + ... + 420108.

It is an arithmetic number, because the mean of its divisors is an integer number (13413750).

Almost surely, 2440143616 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 440143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482895000).

440143616 is an abundant number, since it is smaller than the sum of its proper divisors (525646384).

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

440143616 is a wasteful number, since it uses less digits than its factorization.

440143616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 440143616 is about 20979.5999961868. The cubic root of 440143616 is about 760.6732353960.

The spelling of 440143616 in words is "four hundred forty million, one hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 149 176 256 298 352 596 704 1049 1192 1408 1639 2098 2384 2816 3278 4196 4768 6556 8392 9536 11539 13112 16784 19072 23078 26224 33568 38144 46156 52448 67136 92312 104896 134272 156301 184624 209792 268544 312602 369248 419584 625204 738496 1250408 1476992 1719311 2500816 2953984 3438622 5001632 6877244 10003264 13754488 20006528 27508976 40013056 55017952 110035904 220071808 440143616