Search a number
-
+
4102281968 = 2417137283389
BaseRepresentation
bin1111010010000011…
…1101101011110000
3101120220011111221012
43310200331223300
531400141010333
61515022050052
7203441551511
oct36440755360
911526144835
104102281968
1118156a4184
12965a19928
13504b83aa5
142acb7aa08
1519022ae48
hexf483daf0

4102281968 has 80 divisors (see below), whose sum is σ = 8528963040. Its totient is φ = 1904713728.

The previous prime is 4102281961. The next prime is 4102281983. The reversal of 4102281968 is 8691822014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102281961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10545518 + ... + 10545906.

It is an arithmetic number, because the mean of its divisors is an integer number (106612038).

Almost surely, 24102281968 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 4102281968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264481520).

4102281968 is an abundant number, since it is smaller than the sum of its proper divisors (4426681072).

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

4102281968 is a wasteful number, since it uses less digits than its factorization.

4102281968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 4102281968 is about 64049.0590719333. The cubic root of 4102281968 is about 1600.8175467730.

The spelling of 4102281968 in words is "four billion, one hundred two million, two hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 137 272 274 283 389 548 566 778 1096 1132 1556 2192 2264 2329 3112 4528 4658 4811 6224 6613 9316 9622 13226 18632 19244 26452 37264 38488 38771 52904 53293 76976 77542 105808 106586 110087 155084 213172 220174 310168 426344 440348 620336 659107 852688 880696 905981 1318214 1761392 1811962 1871479 2636428 3623924 3742958 5272856 7247848 7485916 10545712 14495696 14971832 15081919 29943664 30163838 60327676 120655352 241310704 256392623 512785246 1025570492 2051140984 4102281968