Search a number
-
+
4808008040 = 23511101108191
BaseRepresentation
bin1000111101001010…
…00110000101101000
3110102002010010002212
410132211012011220
534321322224130
62113032144252
7230101252103
oct43645060550
913362103085
104808008040
112047aa4670
12b22238088
135b8149594
143387a573a
151d217ee95
hex11e946168

4808008040 has 64 divisors (see below), whose sum is σ = 11918430720. Its totient is φ = 1731040000.

The previous prime is 4808008039. The next prime is 4808008043. The reversal of 4808008040 is 408008084.

It is a super-3 number, since 3×48080080403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4808007988 and 4808008006.

It is not an unprimeable number, because it can be changed into a prime (4808008043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9656 + ... + 98535.

It is an arithmetic number, because the mean of its divisors is an integer number (186225480).

Almost surely, 24808008040 is an apocalyptic number.

4808008040 is a gapful number since it is divisible by the number (40) 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 4808008040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959215360).

4808008040 is an abundant number, since it is smaller than the sum of its proper divisors (7110422680).

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

4808008040 is a wasteful number, since it uses less digits than its factorization.

4808008040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108314 (or 108310 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4808008040 is about 69339.8012688240. The cubic root of 4808008040 is about 1687.8028986411.

The spelling of 4808008040 in words is "four billion, eight hundred eight million, eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 108191 216382 432764 540955 865528 1081910 1190101 2163820 2380202 4327640 4760404 5950505 9520808 10927291 11901010 21854582 23802020 43709164 47604040 54636455 87418328 109272910 120200201 218545820 240400402 437091640 480800804 601001005 961601608 1202002010 2404004020 4808008040