Search a number
-
+
256482816 = 293374513
BaseRepresentation
bin11110100100110…
…01111000000000
3122212121200021120
433102121320000
51011124422231
641241152240
76233032212
oct1722317000
9585550246
10256482816
11121861377
1271a8b680
13411a23a5
14260c65b2
15177b4d96
hexf499e00

256482816 has 80 divisors (see below), whose sum is σ = 701908944. Its totient is φ = 83165184.

The previous prime is 256482803. The next prime is 256482817. The reversal of 256482816 is 618284652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256482817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54576 + ... + 59088.

Almost surely, 2256482816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350954472).

256482816 is an abundant number, since it is smaller than the sum of its proper divisors (445426128).

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

256482816 is an equidigital number, since it uses as much as digits as its factorization.

256482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4555 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 256482816 is about 16015.0808927086. The cubic root of 256482816 is about 635.3593485509.

The spelling of 256482816 in words is "two hundred fifty-six million, four hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2368 3552 4513 4736 7104 9026 9472 13539 14208 18052 18944 27078 28416 36104 54156 56832 72208 108312 144416 166981 216624 288832 333962 433248 500943 577664 667924 866496 1001886 1155328 1335848 1732992 2003772 2310656 2671696 3465984 4007544 5343392 6931968 8015088 10686784 16030176 21373568 32060352 42747136 64120704 85494272 128241408 256482816