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4804707856 = 24132312432
BaseRepresentation
bin1000111100110001…
…00000011000010000
3110101211220110002211
410132120200120100
534320001122411
62112433321504
7230031225424
oct43630403020
913354813084
104804707856
112046150143
12b21106294
135b7562400
14338186b84
151d1c2c221
hex11e620610

4804707856 has 135 divisors (see below), whose sum is σ = 10663816077. Its totient is φ = 2096115840.

The previous prime is 4804707839. The next prime is 4804707857. The reversal of 4804707856 is 6587074084.

It is a happy number.

The square root of 4804707856 is 69316.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 710755600 + 4093952256 = 26660^2 + 63984^2 .

It is not an unprimeable number, because it can be changed into a prime (4804707857) 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 26 ways as a sum of consecutive naturals, for example, 111737371 + ... + 111737413.

Almost surely, 24804707856 is an apocalyptic number.

4804707856 is the 69316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4804707856

4804707856 is an abundant number, since it is smaller than the sum of its proper divisors (5859108221).

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

4804707856 is a wasteful number, since it uses less digits than its factorization.

4804707856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The cubic root of 4804707856 is about 1687.4166447789.

Multiplying 4804707856 by its sum of digits (49), we get a square (235430684944 = 4852122).

The spelling of 4804707856 in words is "four billion, eight hundred four million, seven hundred seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 43 52 62 86 104 124 169 172 208 248 338 344 403 496 559 676 688 806 961 1118 1333 1352 1612 1849 1922 2236 2666 2704 3224 3698 3844 4472 5239 5332 6448 7267 7396 7688 8944 10478 10664 12493 14534 14792 15376 17329 20956 21328 24037 24986 29068 29584 34658 41323 41912 48074 49972 57319 58136 69316 82646 83824 96148 99944 114638 116272 138632 162409 165292 192296 199888 225277 229276 277264 312481 324818 330584 384592 450554 458552 537199 624962 649636 661168 745147 901108 917104 1074398 1249924 1299272 1490294 1776889 1802216 2148796 2499848 2598544 2980588 3553778 3604432 4297592 4999696 5961176 6983587 7107556 8595184 9686911 11922352 13967174 14215112 19373822 23099557 27934348 28430224 38747644 46199114 55868696 77495288 92398228 111737392 154990576 184796456 300294241 369592912 600588482 1201176964 2402353928 4804707856