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506770425 = 3552717701
BaseRepresentation
bin11110001101001…
…011001111111001
31022022120121100000
4132031023033321
52014213123200
6122141503213
715362322540
oct3615131771
91268517300
10506770425
11240071137
12121871b09
1380cb5975
144b439157
152e754300
hex1e34b3f9

506770425 has 144 divisors (see below), whose sum is σ = 1140676992. Its totient is φ = 217728000.

The previous prime is 506770393. The next prime is 506770469. The reversal of 506770425 is 524077605.

It is not a de Polignac number, because 506770425 - 25 = 506770393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506770425.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 722575 + ... + 723275.

It is an arithmetic number, because the mean of its divisors is an integer number (7921368).

Almost surely, 2506770425 is an apocalyptic number.

It is an amenable number.

506770425 is an abundant number, since it is smaller than the sum of its proper divisors (633906567).

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

506770425 is a wasteful number, since it uses less digits than its factorization.

506770425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 506770425 is about 22511.5620293217. The cubic root of 506770425 is about 797.2669366093.

The spelling of 506770425 in words is "five hundred six million, seven hundred seventy thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 45 51 63 75 81 85 105 119 135 153 175 189 225 243 255 315 357 405 425 459 525 567 595 675 701 765 945 1071 1215 1275 1377 1575 1701 1785 2025 2103 2295 2835 2975 3213 3505 3825 4131 4725 4907 5355 6075 6309 6885 8505 8925 9639 10515 11475 11917 14175 14721 16065 17525 18927 20655 24535 26775 28917 31545 34425 35751 42525 44163 48195 52575 56781 59585 73605 80325 83419 94635 103275 107253 122675 132489 144585 157725 170343 178755 220815 240975 250257 283905 297925 321759 368025 397467 417095 473175 536265 662445 722925 750771 851715 893775 965277 1104075 1192401 1251285 1419525 1608795 1987335 2085475 2252313 2681325 2895831 3312225 3753855 4258575 4826385 5962005 6256425 6756939 8043975 9936675 11261565 14479155 18769275 20270817 24131925 29810025 33784695 56307825 72395775 101354085 168923475 506770425