Search a number
-
+
2463915040 = 25515399469
BaseRepresentation
bin1001001011011100…
…0101110000100000
320100201021212000121
42102313011300200
520021230240130
61044254130024
7115025634526
oct22267056040
96321255017
102463915040
1110548a7924
125891b0914
133036068c2
1419533a316
15e649dd7a
hex92dc5c20

2463915040 has 24 divisors (see below), whose sum is σ = 5820999660. Its totient is φ = 985565952.

The previous prime is 2463915037. The next prime is 2463915109. The reversal of 2463915040 is 405193642.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2176409104 + 287505936 = 46652^2 + 16956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2463914987 and 2463915005.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7699575 + ... + 7699894.

Almost surely, 22463915040 is an apocalyptic number.

2463915040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2463915040 is an abundant number, since it is smaller than the sum of its proper divisors (3357084620).

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

2463915040 is a wasteful number, since it uses less digits than its factorization.

2463915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15399484 (or 15399476 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2463915040 is about 49637.8387925985. The cubic root of 2463915040 is about 1350.6471593100.

The spelling of 2463915040 in words is "two billion, four hundred sixty-three million, nine hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 15399469 30798938 61597876 76997345 123195752 153994690 246391504 307989380 492783008 615978760 1231957520 2463915040