Search a number
-
+
2540424042 = 2321341264793
BaseRepresentation
bin1001011101101011…
…1100101101101010
320120001020220122100
42113122330231222
520200322032132
61100030034230
7116645151042
oct22732745552
96501226570
102540424042
111094004202
125aa948976
13316413cc0
141a1574722
15ed06337c
hex976bcb6a

2540424042 has 48 divisors (see below), whose sum is σ = 6072256008. Its totient is φ = 762600960.

The previous prime is 2540424023. The next prime is 2540424113. The reversal of 2540424042 is 2404240452.

2540424042 is a `hidden beast` number, since 2 + 540 + 42 + 40 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1611942201 + 928481841 = 40149^2 + 30471^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2540423997 and 2540424015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122803 + ... + 141990.

Almost surely, 22540424042 is an apocalyptic number.

2540424042 is an abundant number, since it is smaller than the sum of its proper divisors (3531831966).

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

2540424042 is a wasteful number, since it uses less digits than its factorization.

2540424042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264855 (or 264852 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2540424042 is about 50402.6193962179. The cubic root of 2540424042 is about 1364.4849129284.

Adding to 2540424042 its reverse (2404240452), we get a palindrome (4944664494).

The spelling of 2540424042 in words is "two billion, five hundred forty million, four hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 264793 529586 794379 1588758 2383137 3442309 4766274 6884618 10326927 10856513 20653854 21713026 30980781 32569539 61961562 65139078 97708617 141134669 195417234 282269338 423404007 846808014 1270212021 2540424042