Search a number
-
+
2008115538 = 2311132340461
BaseRepresentation
bin111011110110001…
…0110100101010010
312011221121211122120
41313230112211102
513103034144123
6531132515110
7100522462152
oct16754264522
95157554576
102008115538
1194058aa20
1248061ba96
13260059260
141509ac762
15bb4672e3
hex77b16952

2008115538 has 32 divisors (see below), whose sum is σ = 4718371392. Its totient is φ = 561710400.

The previous prime is 2008115521. The next prime is 2008115573. The reversal of 2008115538 is 8355118002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2008115499 and 2008115508.

It is an unprimeable number.

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, 1169373 + ... + 1171088.

It is an arithmetic number, because the mean of its divisors is an integer number (147449106).

Almost surely, 22008115538 is an apocalyptic number.

2008115538 is an abundant number, since it is smaller than the sum of its proper divisors (2710255854).

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

2008115538 is a wasteful number, since it uses less digits than its factorization.

2008115538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340490.

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 2008115538 is about 44812.0021645987. The cubic root of 2008115538 is about 1261.6229062460.

The spelling of 2008115538 in words is "two billion, eight million, one hundred fifteen thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 2340461 4680922 7021383 14042766 25745071 30425993 51490142 60851986 77235213 91277979 154470426 182555958 334685923 669371846 1004057769 2008115538