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4852319904 = 25342964553
BaseRepresentation
bin1001000010011100…
…01000011010100000
3110112011111101120000
410201032020122200
534414143214104
62121254020000
7231150016155
oct44116103240
913464441500
104852319904
11207000a843
12b35047600
135c4392913
1434061c22c
151d5ed4639
hex1213886a0

4852319904 has 120 divisors (see below), whose sum is σ = 14762854260. Its totient is φ = 1561641984.

The previous prime is 4852319893. The next prime is 4852319929. The reversal of 4852319904 is 4099132584.

It can be written as a sum of positive squares in 2 ways, for example, as 4316490000 + 535829904 = 65700^2 + 23148^2 .

It is a super-3 number, since 3×48523199043 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4852319904.

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 19 ways as a sum of consecutive naturals, for example, 42892 + ... + 107444.

Almost surely, 24852319904 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 4852319904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381427130).

4852319904 is an abundant number, since it is smaller than the sum of its proper divisors (9910534356).

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

4852319904 is a wasteful number, since it uses less digits than its factorization.

4852319904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64604 (or 64587 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4852319904 is about 69658.5953346750. The cubic root of 4852319904 is about 1692.9721288526.

The spelling of 4852319904 in words is "four billion, eight hundred fifty-two million, three hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3132 4176 4698 6264 8352 9396 12528 18792 25056 37584 64553 75168 129106 193659 258212 387318 516424 580977 774636 1032848 1161954 1549272 1742931 1872037 2065696 2323908 3098544 3485862 3744074 4647816 5228793 5616111 6197088 6971724 7488148 9295632 10457586 11232222 13943448 14976296 16848333 18591264 20915172 22464444 27886896 29952592 33696666 41830344 44928888 50544999 55773792 59905184 67393332 83660688 89857776 101089998 134786664 151634997 167321376 179715552 202179996 269573328 303269994 404359992 539146656 606539988 808719984 1213079976 1617439968 2426159952 4852319904