Search a number
-
+
4428318608 = 247193349587
BaseRepresentation
bin1000001111111001…
…01100011110010000
3102102121122220010022
410013330230132100
533032122143413
62011230123012
7214511041610
oct40774543620
912377586108
104428318608
11197274134a
12a37050468
1355759988c
143001aaa40
151adb7e608
hex107f2c790

4428318608 has 80 divisors (see below), whose sum is σ = 9901449600. Its totient is φ = 1879400448.

The previous prime is 4428318577. The next prime is 4428318617. The reversal of 4428318608 is 8068138244.

It is a super-2 number, since 2×44283186082 = 39220011387918115328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7543691 + ... + 7544277.

It is an arithmetic number, because the mean of its divisors is an integer number (123768120).

Almost surely, 24428318608 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 4428318608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950724800).

4428318608 is an abundant number, since it is smaller than the sum of its proper divisors (5473130992).

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

4428318608 is a wasteful number, since it uses less digits than its factorization.

4428318608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 4428318608 is about 66545.6129883856. The cubic root of 4428318608 is about 1642.1504864493.

The spelling of 4428318608 in words is "four billion, four hundred twenty-eight million, three hundred eighteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 193 349 386 587 698 772 1174 1351 1396 1544 2348 2443 2702 2792 3088 4109 4696 4886 5404 5584 8218 9392 9772 10808 16436 19544 21616 32872 39088 65744 67357 113291 134714 204863 226582 269428 409726 453164 471499 538856 793037 819452 906328 942998 1077712 1434041 1586074 1638904 1812656 1885996 2868082 3172148 3277808 3771992 5736164 6344296 7543984 11472328 12688592 22944656 39538559 79077118 158154236 276769913 316308472 553539826 632616944 1107079652 2214159304 4428318608