Search a number
-
+
2820408817 = 17859193139
BaseRepresentation
bin1010100000011100…
…0000010111110001
321021120002121112211
42220013000113301
521234011040232
61143511052121
7126615036142
oct25007002761
97246077484
102820408817
111218057986
12668671041
1335c424775
141ca817ac9
1511791ba47
hexa81c05f1

2820408817 has 8 divisors (see below), whose sum is σ = 2989807200. Its totient is φ = 2651398464.

The previous prime is 2820408809. The next prime is 2820408839. The reversal of 2820408817 is 7188040282.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2820408817 - 23 = 2820408809 is a prime.

It is a super-2 number, since 2×28204088172 = 15909411790022678978, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2820408817.

It is not an unprimeable number, because it can be changed into a prime (2820408517) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 81967 + ... + 111172.

It is an arithmetic number, because the mean of its divisors is an integer number (373725900).

Almost surely, 22820408817 is an apocalyptic number.

It is an amenable number.

2820408817 is a deficient number, since it is larger than the sum of its proper divisors (169398383).

2820408817 is a wasteful number, since it uses less digits than its factorization.

2820408817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194015.

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 2820408817 is about 53107.5212846542. The cubic root of 2820408817 is about 1412.8759129172.

The spelling of 2820408817 in words is "two billion, eight hundred twenty million, four hundred eight thousand, eight hundred seventeen".

Divisors: 1 17 859 14603 193139 3283363 165906401 2820408817