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256085025 = 35272174099
BaseRepresentation
bin11110100001110…
…00110000100001
3122211212110121120
433100320300201
51011024210100
641224442453
76226454400
oct1720706041
9584773546
10256085025
1112160a519
1271919429
1341093301
1426021637
15177370a0
hexf438c21

256085025 has 72 divisors (see below), whose sum is σ = 521618400. Its totient is φ = 110154240.

The previous prime is 256084987. The next prime is 256085033. The reversal of 256085025 is 520580652.

It is not a de Polignac number, because 256085025 - 27 = 256084897 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60426 + ... + 64524.

It is an arithmetic number, because the mean of its divisors is an integer number (7244700).

Almost surely, 2256085025 is an apocalyptic number.

256085025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256085025 is an abundant number, since it is smaller than the sum of its proper divisors (265533375).

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

256085025 is a wasteful number, since it uses less digits than its factorization.

256085025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 256085025 is about 16002.6568106674. The cubic root of 256085025 is about 635.0307092429.

The spelling of 256085025 in words is "two hundred fifty-six million, eighty-five thousand, twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 147 175 245 255 357 425 525 595 735 833 1225 1275 1785 2499 2975 3675 4099 4165 8925 12297 12495 20495 20825 28693 61485 62475 69683 86079 102475 143465 200851 209049 307425 348415 430395 487781 602553 717325 1004255 1045245 1463343 1742075 2151975 2438905 3012765 3414467 5021275 5226225 7316715 10243401 12194525 15063825 17072335 36583575 51217005 85361675 256085025