Search a number
-
+
256424355 = 3251123101223
BaseRepresentation
bin11110100100010…
…11100110100011
3122212111201002100
433102023212203
51011121034410
641240021443
76232366605
oct1722134643
9585451070
10256424355
11121821460
1271a61883
13411818b5
14260ad175
15177a28c0
hexf48b9a3

256424355 has 96 divisors (see below), whose sum is σ = 513257472. Its totient is φ = 117216000.

The previous prime is 256424347. The next prime is 256424383. The reversal of 256424355 is 553424652.

256424355 is a `hidden beast` number, since 2 + 5 + 642 + 4 + 3 + 5 + 5 = 666.

It is not a de Polignac number, because 256424355 - 23 = 256424347 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1149774 + ... + 1149996.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432).

Almost surely, 2256424355 is an apocalyptic number.

256424355 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

256424355 is a wasteful number, since it uses less digits than its factorization.

256424355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 366 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 256424355 is about 16013.2556027811. The cubic root of 256424355 is about 635.3110716775.

The spelling of 256424355 in words is "two hundred fifty-six million, four hundred twenty-four thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 23 33 45 55 69 99 101 115 165 207 223 253 303 345 495 505 669 759 909 1035 1111 1115 1265 1515 2007 2277 2323 2453 3333 3345 3795 4545 5129 5555 6969 7359 9999 10035 11385 11615 12265 15387 16665 20907 22077 22523 25553 25645 34845 36795 46161 49995 56419 67569 76659 76935 104535 110385 112615 127765 169257 202707 229977 230805 247753 282095 337845 383295 507771 518029 743259 846285 1013535 1149885 1238765 1554087 2229777 2538855 2590145 3716295 4662261 5698319 7770435 11148885 17094957 23311305 28491595 51284871 85474785 256424355