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4842083904 = 263713925919
BaseRepresentation
bin1001000001001110…
…00101011001000000
3110111110020100101220
410200213011121000
534404033141104
62120250355040
7230664014460
oct44047053100
913443210356
104842083904
112065259339
12b3172ba80
135c221a808
1433d115ba0
151d51617d9
hex1209c5640

4842083904 has 112 divisors (see below), whose sum is σ = 14747443200. Its totient is φ = 1373446656.

The previous prime is 4842083891. The next prime is 4842083923. The reversal of 4842083904 is 4093802484.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 173857 + ... + 199775.

It is an arithmetic number, because the mean of its divisors is an integer number (131673600).

Almost surely, 24842083904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4842083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373721600).

4842083904 is an abundant number, since it is smaller than the sum of its proper divisors (9905359296).

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

4842083904 is a wasteful number, since it uses less digits than its factorization.

4842083904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26080 (or 26070 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4842083904 is about 69585.0839188974. The cubic root of 4842083904 is about 1691.7808455934.

The spelling of 4842083904 in words is "four billion, eight hundred forty-two million, eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 139 168 192 224 278 336 417 448 556 672 834 973 1112 1344 1668 1946 2224 2919 3336 3892 4448 5838 6672 7784 8896 11676 13344 15568 23352 25919 26688 31136 46704 51838 62272 77757 93408 103676 155514 181433 186816 207352 311028 362866 414704 544299 622056 725732 829408 1088598 1244112 1451464 1658816 2177196 2488224 2902928 3602741 4354392 4976448 5805856 7205482 8708784 10808223 11611712 14410964 17417568 21616446 25219187 28821928 34835136 43232892 50438374 57643856 75657561 86465784 100876748 115287712 151315122 172931568 201753496 230575424 302630244 345863136 403506992 605260488 691726272 807013984 1210520976 1614027968 2421041952 4842083904