Search a number
-
+
256525830 = 232511534889
BaseRepresentation
bin11110100101001…
…00011000000110
3122212200212021200
433102210120012
51011132311310
641242123330
76233301501
oct1722443006
9585625250
10256525830
11121890720
1271ab0546
13411b8b42
14260d8138
15177c29c0
hexf4a4606

256525830 has 96 divisors (see below), whose sum is σ = 741480480. Its totient is φ = 61002240.

The previous prime is 256525817. The next prime is 256525849. The reversal of 256525830 is 38525652.

It is a happy number.

256525830 is a `hidden beast` number, since 2 + 56 + 525 + 83 + 0 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50026 + ... + 54914.

It is an arithmetic number, because the mean of its divisors is an integer number (7723755).

Almost surely, 2256525830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256525830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370740240).

256525830 is an abundant number, since it is smaller than the sum of its proper divisors (484954650).

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

256525830 is a wasteful number, since it uses less digits than its factorization.

256525830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 256525830 is about 16016.4237581303. The cubic root of 256525830 is about 635.3948646657.

The spelling of 256525830 in words is "two hundred fifty-six million, five hundred twenty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 53 55 66 90 99 106 110 159 165 198 265 318 330 477 495 530 583 795 954 990 1166 1590 1749 2385 2915 3498 4770 4889 5247 5830 8745 9778 10494 14667 17490 24445 26235 29334 44001 48890 52470 53779 73335 88002 107558 146670 161337 220005 259117 268895 322674 440010 484011 518234 537790 777351 806685 968022 1295585 1554702 1613370 2332053 2420055 2591170 2850287 3886755 4664106 4840110 5700574 7773510 8550861 11660265 14251435 17101722 23320530 25652583 28502870 42754305 51305166 85508610 128262915 256525830