Search a number
-
+
256355730 = 232518115737
BaseRepresentation
bin11110100011110…
…10110110010010
3122212101012221200
433101322312102
51011111340410
641234332030
76231662541
oct1721726622
9585335850
10256355730
11121784944
1271a2a016
13411595a7
1426092158
151778c3c0
hexf47ad92

256355730 has 48 divisors (see below), whose sum is σ = 670249944. Its totient is φ = 67979520.

The previous prime is 256355717. The next prime is 256355731. The reversal of 256355730 is 37553652.

256355730 is a `hidden beast` number, since 2 + 56 + 35 + 573 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 183304521 + 73051209 = 13539^2 + 8547^2 .

It is not an unprimeable number, because it can be changed into a prime (256355731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8422 + ... + 24158.

Almost surely, 2256355730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256355730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335124972).

256355730 is an abundant number, since it is smaller than the sum of its proper divisors (413894214).

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

256355730 is a wasteful number, since it uses less digits than its factorization.

256355730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15931 (or 15928 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The square root of 256355730 is about 16011.1127033695. The cubic root of 256355730 is about 635.2543920482.

The spelling of 256355730 in words is "two hundred fifty-six million, three hundred fifty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 15737 16290 31474 47211 78685 94422 141633 157370 236055 283266 472110 708165 1416330 2848397 5696794 8545191 14241985 17090382 25635573 28483970 42725955 51271146 85451910 128177865 256355730