Search a number
-
+
4066467328 = 2971129377
BaseRepresentation
bin1111001001100001…
…0101111000000000
3101111101202221111001
43302120111320000
531312003423303
61511302301344
7202525254610
oct36230257000
911441687431
104066467328
1117a7462100
12955a27854
134ca6242b1
142a80d6a40
1518c00431d
hexf2615e00

4066467328 has 120 divisors (see below), whose sum is σ = 10207690416. Its totient is φ = 1584168960.

The previous prime is 4066467311. The next prime is 4066467359. The reversal of 4066467328 is 8237646604.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 428976 + ... + 438352.

Almost surely, 24066467328 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 4066467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103845208).

4066467328 is an abundant number, since it is smaller than the sum of its proper divisors (6141223088).

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

4066467328 is an equidigital number, since it uses as much as digits as its factorization.

4066467328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424 (or 9397 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The square root of 4066467328 is about 63768.8586066898. The cubic root of 4066467328 is about 1596.1453208631.

The spelling of 4066467328 in words is "four billion, sixty-six million, four hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 512 616 704 847 896 968 1232 1408 1694 1792 1936 2464 2816 3388 3584 3872 4928 5632 6776 7744 9377 9856 13552 15488 18754 19712 27104 30976 37508 39424 54208 61952 65639 75016 103147 108416 131278 150032 206294 216832 262556 300064 412588 433664 525112 600128 722029 825176 1050224 1134617 1200256 1444058 1650352 2100448 2269234 2400512 2888116 3300704 4200896 4538468 4801024 5776232 6601408 7942319 8401792 9076936 11552464 13202816 15884638 16803584 18153872 23104928 26405632 31769276 33607168 36307744 46209856 52811264 63538552 72615488 92419712 127077104 145230976 184839424 254154208 290461952 369678848 508308416 580923904 1016616832 2033233664 4066467328