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4454974848 = 273174211621
BaseRepresentation
bin1000010011000100…
…11000010110000000
3102111110211011121110
410021202120112000
533110433143343
62014021323320
7215253442602
oct41142302600
912443734543
104454974848
1119867985a5
12a43b66540
1355cc708bc
14303949172
151b1197833
hex109898580

4454974848 has 128 divisors (see below), whose sum is σ = 12567126240. Its totient is φ = 1393459200.

The previous prime is 4454974819. The next prime is 4454974889. The reversal of 4454974848 is 8484794544.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2747478 + ... + 2749098.

Almost surely, 24454974848 is an apocalyptic number.

4454974848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283563120).

4454974848 is an abundant number, since it is smaller than the sum of its proper divisors (8112151392).

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

4454974848 is a wasteful number, since it uses less digits than its factorization.

4454974848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2064 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 57.

The square root of 4454974848 is about 66745.5979672068. The cubic root of 4454974848 is about 1645.4388691167.

The spelling of 4454974848 in words is "four billion, four hundred fifty-four million, nine hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 421 544 816 842 1088 1263 1621 1632 1684 2176 2526 3242 3264 3368 4863 5052 6484 6528 6736 7157 9726 10104 12968 13472 14314 19452 20208 21471 25936 26944 27557 28628 38904 40416 42942 51872 53888 55114 57256 77808 80832 82671 85884 103744 110228 114512 155616 161664 165342 171768 207488 220456 229024 311232 330684 343536 440912 458048 622464 661368 682441 687072 881824 916096 1322736 1364882 1374144 1763648 2047323 2645472 2729764 2748288 3527296 4094646 5290944 5459528 8189292 10581888 10919056 11601497 16378584 21838112 23202994 32757168 34804491 43676224 46405988 65514336 69608982 87352448 92811976 131028672 139217964 185623952 262057344 278435928 371247904 556871856 742495808 1113743712 1484991616 2227487424 4454974848