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4843038048 = 253298320959
BaseRepresentation
bin1001000001010101…
…01110010101100000
3110111112000211020120
410200222232111200
534404304204143
62120323040240
7231005100312
oct44052562540
913445024216
104843038048
112065850192
12b31b10080
135c2492bb4
1433d2c37b2
151d529e383
hex120aae560

4843038048 has 96 divisors (see below), whose sum is σ = 13310438400. Its totient is φ = 1539826176.

The previous prime is 4843038029. The next prime is 4843038059. The reversal of 4843038048 is 8408303484.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220593 + ... + 241551.

It is an arithmetic number, because the mean of its divisors is an integer number (138650400).

Almost surely, 24843038048 is an apocalyptic number.

4843038048 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 4843038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655219200).

4843038048 is an abundant number, since it is smaller than the sum of its proper divisors (8467400352).

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

4843038048 is a wasteful number, since it uses less digits than its factorization.

4843038048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21084 (or 21076 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 4843038048 is about 69591.9395332534. The cubic root of 4843038048 is about 1691.8919614242.

The spelling of 4843038048 in words is "four billion, eight hundred forty-three million, thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 83 87 96 116 166 174 232 249 332 348 464 498 664 696 928 996 1328 1392 1992 2407 2656 2784 3984 4814 7221 7968 9628 14442 19256 20959 28884 38512 41918 57768 62877 77024 83836 115536 125754 167672 231072 251508 335344 503016 607811 670688 1006032 1215622 1739597 1823433 2012064 2431244 3479194 3646866 4862488 5218791 6958388 7293732 9724976 10437582 13916776 14587464 19449952 20875164 27833552 29174928 41750328 50448313 55667104 58349856 83500656 100896626 151344939 167001312 201793252 302689878 403586504 605379756 807173008 1210759512 1614346016 2421519024 4843038048