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2485315136 = 26173122377
BaseRepresentation
bin1001010000100010…
…1110011001000000
320102012120002102202
42110020232121000
520042220041021
61050340532332
7115405554503
oct22410563100
96365502382
102485315136
111065994057
125943b10a8
13307b8a395
1419810b13a
15e82c9a0b
hex9422e640

2485315136 has 84 divisors (see below), whose sum is σ = 5398055244. Its totient is φ = 1131356160.

The previous prime is 2485315097. The next prime is 2485315139. The reversal of 2485315136 is 6315135842.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1477633600 + 1007681536 = 38440^2 + 31744^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2485315136.

It is not an unprimeable number, because it can be changed into a prime (2485315139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1044380 + ... + 1046756.

Almost surely, 22485315136 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 2485315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699027622).

2485315136 is an abundant number, since it is smaller than the sum of its proper divisors (2912740108).

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

2485315136 is a wasteful number, since it uses less digits than its factorization.

2485315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2427 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 2485315136 is about 49852.9350790904. The cubic root of 2485315136 is about 1354.5461978935.

The spelling of 2485315136 in words is "two billion, four hundred eighty-five million, three hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 961 992 1054 1088 1922 1984 2108 2377 3844 4216 4754 7688 8432 9508 15376 16337 16864 19016 30752 32674 33728 38032 40409 61504 65348 73687 76064 80818 130696 147374 152128 161636 261392 294748 323272 522784 589496 646544 1045568 1178992 1252679 1293088 2284297 2357984 2505358 2586176 4568594 4715968 5010716 9137188 10021432 18274376 20042864 36548752 38833049 40085728 73097504 77666098 80171456 146195008 155332196 310664392 621328784 1242657568 2485315136