Search a number
-
+
2483416964 = 2271935913003
BaseRepresentation
bin1001010000000101…
…1110111110000100
320102001222122122002
42110001132332010
520041223320324
61050232124432
7115353460460
oct22401367604
96361878562
102483416964
111064907a16
12593836718
133076743c2
14197b754a0
15e80523ae
hex9405ef84

2483416964 has 48 divisors (see below), whose sum is σ = 5243212800. Its totient is φ = 1005418656.

The previous prime is 2483416961. The next prime is 2483416993. The reversal of 2483416964 is 4696143842.

It is not an unprimeable number, because it can be changed into a prime (2483416961) 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, 184487 + ... + 197489.

It is an arithmetic number, because the mean of its divisors is an integer number (109233600).

Almost surely, 22483416964 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 2483416964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621606400).

2483416964 is an abundant number, since it is smaller than the sum of its proper divisors (2759795836).

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

2483416964 is a wasteful number, since it uses less digits than its factorization.

2483416964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13392 (or 13390 counting only the distinct ones).

The product of its digits is 995328, while the sum is 47.

The square root of 2483416964 is about 49833.8937270609. The cubic root of 2483416964 is about 1354.2012628944.

The spelling of 2483416964 in words is "two billion, four hundred eighty-three million, four hundred sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 359 532 718 1436 2513 5026 6821 10052 13003 13642 26006 27284 47747 52012 91021 95494 182042 190988 247057 364084 494114 988228 1729399 3458798 4668077 6917596 9336154 18672308 32676539 65353078 88693463 130706156 177386926 354773852 620854241 1241708482 2483416964