Search a number
-
+
1444783648 = 257111135189
BaseRepresentation
bin101011000011101…
…1010011000100000
310201200121121120111
41112013122120200
510424331034043
6355210421104
750542313140
oct12607323040
93650547514
101444783648
116815a7380
12343a31794
131a042b789
14d9c4c920
1586c8e09d
hex561da620

1444783648 has 96 divisors (see below), whose sum is σ = 3578359680. Its totient is φ = 557813760.

The previous prime is 1444783631. The next prime is 1444783651. The reversal of 1444783648 is 8463874441.

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, 275838 + ... + 281026.

It is an arithmetic number, because the mean of its divisors is an integer number (37274580).

Almost surely, 21444783648 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 1444783648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789179840).

1444783648 is an abundant number, since it is smaller than the sum of its proper divisors (2133576032).

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

1444783648 is a wasteful number, since it uses less digits than its factorization.

1444783648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5322 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 49.

The square root of 1444783648 is about 38010.3097593271. The cubic root of 1444783648 is about 1130.4922928724.

The spelling of 1444783648 in words is "one billion, four hundred forty-four million, seven hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 113 154 176 224 226 308 352 452 616 791 904 1232 1243 1582 1808 2464 2486 3164 3616 4972 5189 6328 8701 9944 10378 12656 17402 19888 20756 25312 34804 36323 39776 41512 57079 69608 72646 83024 114158 139216 145292 166048 228316 278432 290584 399553 456632 581168 586357 799106 913264 1162336 1172714 1598212 1826528 2345428 3196424 4104499 4690856 6392848 6449927 8208998 9381712 12785696 12899854 16417996 18763424 25799708 32835992 45149489 51599416 65671984 90298978 103198832 131343968 180597956 206397664 361195912 722391824 1444783648