Search a number
-
+
2483037648 = 2432713199973
BaseRepresentation
bin1001010000000000…
…0010010111010000
320102001021101022100
42110000002113100
520041124201043
61050220040400
7115350320550
oct22400022720
96361241270
102483037648
111064678a33
12593693100
13307570860
14197ab7160
15e7ec9cd3
hex940025d0

2483037648 has 240 divisors, whose sum is σ = 9003729280. Its totient is φ = 620338176.

The previous prime is 2483037647. The next prime is 2483037677. The reversal of 2483037648 is 8467303842.

2483037648 is a `hidden beast` number, since 248 + 30 + 376 + 4 + 8 = 666.

It is a super-2 number, since 2×24830376482 = 12330951922770743808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483037647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243990 + ... + 253962.

Almost surely, 22483037648 is an apocalyptic number.

2483037648 is a gapful number since it is divisible by the number (28) 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 2483037648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501864640).

2483037648 is an abundant number, since it is smaller than the sum of its proper divisors (6520691632).

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

2483037648 is a wasteful number, since it uses less digits than its factorization.

2483037648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2483037648 is about 49830.0877783694. The cubic root of 2483037648 is about 1354.1323126847.

The spelling of 2483037648 in words is "two billion, four hundred eighty-three million, thirty-seven thousand, six hundred forty-eight".