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3005207425 = 521123173439
BaseRepresentation
bin1011001100011111…
…1101001110000001
321202102211100120201
42303013331032001
522123313114200
61214112005201
7134320561453
oct26307751601
97672740521
103005207425
1113023a7900
126ba530801
1338b7b885c
142071a02d3
15128c71c6a
hexb31fd381

3005207425 has 72 divisors (see below), whose sum is σ = 4295836160. Its totient is φ = 2081376000.

The previous prime is 3005207411. The next prime is 3005207437. The reversal of 3005207425 is 5247025003.

It is not a de Polignac number, because 3005207425 - 29 = 3005206913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3005207393 and 3005207402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6845356 + ... + 6845794.

Almost surely, 23005207425 is an apocalyptic number.

It is an amenable number.

3005207425 is a deficient number, since it is larger than the sum of its proper divisors (1290628735).

3005207425 is a wasteful number, since it uses less digits than its factorization.

3005207425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 3005207425 is about 54819.7722085745. The cubic root of 3005207425 is about 1443.0835775421.

The spelling of 3005207425 in words is "three billion, five million, two hundred seven thousand, four hundred twenty-five".

Divisors: 1 5 11 25 31 55 73 121 155 275 341 365 439 605 775 803 1705 1825 2195 2263 3025 3751 4015 4829 8525 8833 10975 11315 13609 18755 20075 24145 24893 32047 44165 53119 56575 68045 93775 120725 124465 149699 160235 220825 265595 273823 340225 352517 622325 748495 801175 993457 1327975 1369115 1646689 1762585 3742475 3877687 4967285 6845575 8233445 8812925 10928027 19388435 24836425 41167225 54640135 96942175 120208297 273200675 601041485 3005207425