Search a number
-
+
1444966608 = 243414011831
BaseRepresentation
bin101011000100000…
…0111000011010000
310201200221220112210
41112020013003100
510424402412413
6355214352120
750544004431
oct12610070320
93650856483
101444966608
11681711888
12343abb640
131a0493b37
14d9c99488
1586cc83c3
hex562070d0

1444966608 has 80 divisors (see below), whose sum is σ = 3835504512. Its totient is φ = 468480000.

The previous prime is 1444966583. The next prime is 1444966609. The reversal of 1444966608 is 8066694441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444966609) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 788253 + ... + 790083.

Almost surely, 21444966608 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 1444966608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917752256).

1444966608 is an abundant number, since it is smaller than the sum of its proper divisors (2390537904).

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

1444966608 is a wasteful number, since it uses less digits than its factorization.

1444966608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 1444966608 is about 38012.7163985948. The cubic root of 1444966608 is about 1130.5400107759.

The spelling of 1444966608 in words is "one billion, four hundred forty-four million, nine hundred sixty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 401 492 656 802 984 1203 1604 1831 1968 2406 3208 3662 4812 5493 6416 7324 9624 10986 14648 16441 19248 21972 29296 32882 43944 49323 65764 75071 87888 98646 131528 150142 197292 225213 263056 300284 394584 450426 600568 734231 789168 900852 1201136 1468462 1801704 2202693 2936924 3603408 4405386 5873848 8810772 11747696 17621544 30103471 35243088 60206942 90310413 120413884 180620826 240827768 361241652 481655536 722483304 1444966608