Search a number
-
+
2412818082 = 2322329319891
BaseRepresentation
bin1000111111010000…
…1010111010100010
320020011010212011200
42033310022322202
514420140134312
61035231022030
7113535421023
oct21764127242
96204125150
102412818082
111028a77a34
1257406a916
132c5b5610c
1418c638c4a
15e1c590dc
hex8fd0aea2

2412818082 has 48 divisors (see below), whose sum is σ = 5473960128. Its totient is φ = 766640160.

The previous prime is 2412818081. The next prime is 2412818141. The reversal of 2412818082 is 2808182142.

2412818082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2412818081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111357 + ... + 131247.

It is an arithmetic number, because the mean of its divisors is an integer number (114040836).

Almost surely, 22412818082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412818082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736980064).

2412818082 is an abundant number, since it is smaller than the sum of its proper divisors (3061142046).

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

2412818082 is a wasteful number, since it uses less digits than its factorization.

2412818082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20215 (or 20212 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2412818082 is about 49120.4446437530. Note that the first 3 decimals coincide. The cubic root of 2412818082 is about 1341.2452377272.

The spelling of 2412818082 in words is "two billion, four hundred twelve million, eight hundred eighteen thousand, eighty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 293 414 586 879 1758 2637 5274 6739 13478 19891 20217 39782 40434 59673 60651 119346 121302 179019 358038 457493 914986 1372479 2744958 4117437 5828063 8234874 11656126 17484189 34968378 52452567 104905134 134045449 268090898 402136347 804272694 1206409041 2412818082