Search a number
-
+
2483407872 = 2103211217131
BaseRepresentation
bin1001010000000101…
…1100110000000000
320102001222012011100
42110001130300000
520041223022442
61050232014400
7115353422121
oct22401346000
96361865140
102483407872
111064901100
12593831400
1330767021a
14197b72048
15e804e84c
hex9405cc00

2483407872 has 396 divisors, whose sum is σ = 8409288888. Its totient is φ = 702873600.

The previous prime is 2483407859. The next prime is 2483407903. The reversal of 2483407872 is 2787043842.

It is a tau number, because it is divible by the number of its divisors (396).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18957247 + ... + 18957377.

It is an arithmetic number, because the mean of its divisors is an integer number (21235578).

Almost surely, 22483407872 is an apocalyptic number.

2483407872 is a gapful number since it is divisible by the number (22) 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 2483407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204644444).

2483407872 is an abundant number, since it is smaller than the sum of its proper divisors (5925881016).

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

2483407872 is a wasteful number, since it uses less digits than its factorization.

2483407872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2483407872 is about 49833.8025039230. The cubic root of 2483407872 is about 1354.1996102772.

The spelling of 2483407872 in words is "two billion, four hundred eighty-three million, four hundred seven thousand, eight hundred seventy-two".