Search a number
-
+
4854067968 = 28325724593
BaseRepresentation
bin1001000010101001…
…10011001100000000
3110112021210012110010
410201110303030000
534420120133333
62121355304520
7231200616441
oct44124631400
913467705403
104854067968
112070aa4122
12b3574b140
135c4855489
143409552c8
151d622c563
hex121533300

4854067968 has 72 divisors (see below), whose sum is σ = 12969695088. Its totient is φ = 1611661312.

The previous prime is 4854067957. The next prime is 4854068003. The reversal of 4854067968 is 8697604584.

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, 185080 + ... + 209672.

It is an arithmetic number, because the mean of its divisors is an integer number (180134654).

Almost surely, 24854067968 is an apocalyptic number.

4854067968 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 4854067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484847544).

4854067968 is an abundant number, since it is smaller than the sum of its proper divisors (8115627120).

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

4854067968 is a wasteful number, since it uses less digits than its factorization.

4854067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24869 (or 24855 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The square root of 4854067968 is about 69671.1415723899. The cubic root of 4854067968 is about 1693.1754040131.

The spelling of 4854067968 in words is "four billion, eight hundred fifty-four million, sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 257 384 514 768 771 1028 1542 2056 3084 4112 6168 8224 12336 16448 24593 24672 32896 49186 49344 65792 73779 98372 98688 147558 196744 197376 295116 393488 590232 786976 1180464 1573952 2360928 3147904 4721856 6295808 6320401 9443712 12640802 18887424 18961203 25281604 37922406 50563208 75844812 101126416 151689624 202252832 303379248 404505664 606758496 809011328 1213516992 1618022656 2427033984 4854067968