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4808430048 = 2532321110321
BaseRepresentation
bin1000111101001101…
…01101000111100000
3110102002220112222210
410132212231013200
534321424230143
62113045202120
7230104660332
oct43646550740
913362815883
104808430048
112048262734
12b22400340
135b82666a6
14338875452
151d2215033
hex11e9ad1e0

4808430048 has 96 divisors (see below), whose sum is σ = 13234620672. Its totient is φ = 1525708800.

The previous prime is 4808430041. The next prime is 4808430079. The reversal of 4808430048 is 8400348084.

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

It is a super-3 number, since 3×48084300483 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4808429988 and 4808430015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4808430041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460728 + ... + 471048.

It is an arithmetic number, because the mean of its divisors is an integer number (137860632).

Almost surely, 24808430048 is an apocalyptic number.

4808430048 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 4808430048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617310336).

4808430048 is an abundant number, since it is smaller than the sum of its proper divisors (8426190624).

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

4808430048 is a wasteful number, since it uses less digits than its factorization.

4808430048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10568 (or 10560 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 4808430048 is about 69342.8442450986. The cubic root of 4808430048 is about 1687.8522777520.

The spelling of 4808430048 in words is "four billion, eight hundred eight million, four hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 211 276 368 422 552 633 736 844 1104 1266 1688 2208 2532 3376 4853 5064 6752 9706 10128 10321 14559 19412 20256 20642 29118 30963 38824 41284 58236 61926 77648 82568 116472 123852 155296 165136 232944 237383 247704 330272 465888 474766 495408 712149 949532 990816 1424298 1899064 2177731 2848596 3798128 4355462 5697192 6533193 7596256 8710924 11394384 13066386 17421848 22788768 26132772 34843696 50087813 52265544 69687392 100175626 104531088 150263439 200351252 209062176 300526878 400702504 601053756 801405008 1202107512 1602810016 2404215024 4808430048