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4878064296 = 233472346757
BaseRepresentation
bin1001000101100000…
…10101101010101000
3110120221221100020000
410202300111222220
534442241024141
62124013503000
7231611601540
oct44260255250
913527840200
104878064296
1120835a39a6
12b417a1a60
135c98078a1
14343c00320
151d83bc5b6
hex122c15aa8

4878064296 has 160 divisors (see below), whose sum is σ = 16294227840. Its totient is φ = 1333107072.

The previous prime is 4878064291. The next prime is 4878064379. The reversal of 4878064296 is 6924608784.

4878064296 is a `hidden beast` number, since 487 + 80 + 64 + 29 + 6 = 666.

It is a super-2 number, since 2×48780642962 = 47591022551819951232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4878064291) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 80950 + ... + 127706.

It is an arithmetic number, because the mean of its divisors is an integer number (101838924).

Almost surely, 24878064296 is an apocalyptic number.

4878064296 is a gapful number since it is divisible by the number (46) 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 4878064296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147113920).

4878064296 is an abundant number, since it is smaller than the sum of its proper divisors (11416163544).

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

4878064296 is a wasteful number, since it uses less digits than its factorization.

4878064296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46805 (or 46792 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4878064296 is about 69843.1406510332. The cubic root of 4878064296 is about 1695.9609180578.

The spelling of 4878064296 in words is "four billion, eight hundred seventy-eight million, sixty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 1134 1242 1288 1449 1512 1656 1863 1932 2268 2484 2898 3726 3864 4347 4536 4968 5796 7452 8694 11592 13041 14904 17388 26082 34776 46757 52164 93514 104328 140271 187028 280542 327299 374056 420813 561084 654598 841626 981897 1075411 1122168 1262439 1309196 1683252 1963794 2150822 2524878 2618392 2945691 3226233 3366504 3787317 3927588 4301644 5049756 5891382 6452466 7527877 7574634 7855176 8603288 8837073 9678699 10099512 11782764 12904932 15055754 15149268 17674146 19357398 22583631 23565528 25809864 26511219 29036097 30111508 30298536 35348292 38714796 45167262 53022438 58072194 60223016 67750893 70696584 77429592 87108291 90334524 106044876 116144388 135501786 174216582 180669048 203252679 212089752 232288776 271003572 348433164 406505358 542007144 609758037 696866328 813010716 1219516074 1626021432 2439032148 4878064296