Search a number
-
+
4849717728 = 253791135659
BaseRepresentation
bin1001000010001000…
…01101000111100000
3110111222121012001010
410201010031013200
534413011431403
62121122140520
7231115630512
oct44104150740
913458535033
104849717728
1120695a2789
12b341b1740
135c399137b
14340141bb2
151d5b6d603
hex12110d1e0

4849717728 has 96 divisors (see below), whose sum is σ = 13008038400. Its totient is φ = 1581705216.

The previous prime is 4849717711. The next prime is 4849717781. The reversal of 4849717728 is 8277179484.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 854163 + ... + 859821.

It is an arithmetic number, because the mean of its divisors is an integer number (135500400).

Almost surely, 24849717728 is an apocalyptic number.

4849717728 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 4849717728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504019200).

4849717728 is an abundant number, since it is smaller than the sum of its proper divisors (8158320672).

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

4849717728 is a wasteful number, since it uses less digits than its factorization.

4849717728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5856 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 57.

The square root of 4849717728 is about 69639.9147615791. The cubic root of 4849717728 is about 1692.6694420782.

The spelling of 4849717728 in words is "four billion, eight hundred forty-nine million, seven hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 113 158 226 237 316 339 452 474 632 678 904 948 1264 1356 1808 1896 2528 2712 3616 3792 5424 5659 7584 8927 10848 11318 16977 17854 22636 26781 33954 35708 45272 53562 67908 71416 90544 107124 135816 142832 181088 214248 271632 285664 428496 447061 543264 639467 856992 894122 1278934 1341183 1788244 1918401 2557868 2682366 3576488 3836802 5115736 5364732 7152976 7673604 10231472 10729464 14305952 15347208 20462944 21458928 30694416 42917856 50517893 61388832 101035786 151553679 202071572 303107358 404143144 606214716 808286288 1212429432 1616572576 2424858864 4849717728