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4983000768 = 263811867
BaseRepresentation
bin1001010010000001…
…01000111011000000
3110212021101200000000
410221000220323000
540201122011033
62142243000000
7234324544014
oct45100507300
913767350000
104983000768
112127857259
12b70969000
13615489285
14353b18544
151e26e9a13
hex129028ec0

4983000768 has 126 divisors (see below), whose sum is σ = 14832709476. Its totient is φ = 1660860288.

The previous prime is 4983000767. The next prime is 4983000779. The reversal of 4983000768 is 8670003894.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4983000767) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 413971 + ... + 425837.

Almost surely, 24983000768 is an apocalyptic number.

4983000768 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 4983000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416354738).

4983000768 is an abundant number, since it is smaller than the sum of its proper divisors (9849708708).

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

4983000768 is an frugal number, since it uses more digits than its factorization.

4983000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11903 (or 11872 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4983000768 is about 70590.3730546878. The cubic root of 4983000768 is about 1708.0358611597.

The spelling of 4983000768 in words is "four billion, nine hundred eighty-three million, seven hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 6561 7776 8748 11664 11867 13122 15552 17496 23328 23734 26244 34992 35601 46656 47468 52488 69984 71202 94936 104976 106803 139968 142404 189872 209952 213606 284808 320409 379744 419904 427212 569616 640818 759488 854424 961227 1139232 1281636 1708848 1922454 2278464 2563272 2883681 3417696 3844908 5126544 5767362 6835392 7689816 8651043 10253088 11534724 15379632 17302086 20506176 23069448 25953129 30759264 34604172 46138896 51906258 61518528 69208344 77859387 92277792 103812516 138416688 155718774 184555584 207625032 276833376 311437548 415250064 553666752 622875096 830500128 1245750192 1661000256 2491500384 4983000768