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2004648425 = 52132617769
BaseRepresentation
bin111011101111100…
…1000000111101001
312011201002200122222
41313133020013221
513101142222200
6530530323425
7100451142023
oct16737100751
95151080588
102004648425
1193963203a
1247b429575
1325c414100
14150349013
15baeced85
hex777c81e9

2004648425 has 36 divisors (see below), whose sum is σ = 2699553780. Its totient is φ = 1476034560.

The previous prime is 2004648407. The next prime is 2004648431. The reversal of 2004648425 is 5248464002.

It can be written as a sum of positive squares in 18 ways, for example, as 1980873049 + 23775376 = 44507^2 + 4876^2 .

It is not a de Polignac number, because 2004648425 - 26 = 2004648361 is a prime.

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, 2606441 + ... + 2607209.

It is an arithmetic number, because the mean of its divisors is an integer number (74987605).

Almost surely, 22004648425 is an apocalyptic number.

2004648425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2004648425 is a deficient number, since it is larger than the sum of its proper divisors (694905355).

2004648425 is a wasteful number, since it uses less digits than its factorization.

2004648425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 2004648425 is about 44773.3003585842. The cubic root of 2004648425 is about 1260.8964027267.

The spelling of 2004648425 in words is "two billion, four million, six hundred forty-eight thousand, four hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 617 769 845 3085 3845 4225 8021 9997 15425 19225 40105 49985 104273 129961 200525 249925 474473 521365 649805 2372365 2606825 3249025 6168149 11861825 30840745 80185937 154203725 400929685 2004648425