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1468956448 = 251311392521
BaseRepresentation
bin101011110001110…
…0111111100100000
310210101002201102101
41113203213330200
511002023101243
6401432500144
751254631601
oct12743477440
93711081371
101468956448
116942077a3
1234bb4a654
131a54432cb
14dd141da8
1588e6654d
hex578e7f20

1468956448 has 48 divisors (see below), whose sum is σ = 2936213280. Its totient is φ = 723340800.

The previous prime is 1468956407. The next prime is 1468956449. The reversal of 1468956448 is 8446598641.

It is a super-2 number, since 2×14689564482 = 4315666092241553408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1468956449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581428 + ... + 583948.

It is an arithmetic number, because the mean of its divisors is an integer number (61171110).

Almost surely, 21468956448 is an apocalyptic number.

It is an amenable number.

1468956448 is a deficient number, since it is larger than the sum of its proper divisors (1467256832).

1468956448 is a wasteful number, since it uses less digits than its factorization.

1468956448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2793 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 55.

The square root of 1468956448 is about 38326.9676337693. The cubic root of 1468956448 is about 1136.7622421829.

The spelling of 1468956448 in words is "one billion, four hundred sixty-eight million, nine hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 131 139 262 278 524 556 1048 1112 2096 2224 2521 4192 4448 5042 10084 18209 20168 36418 40336 72836 80672 145672 291344 330251 350419 582688 660502 700838 1321004 1401676 2642008 2803352 5284016 5606704 10568032 11213408 45904889 91809778 183619556 367239112 734478224 1468956448