Search a number
-
+
4260256 = 2572111319
BaseRepresentation
bin10000010000000110100000
322000102222021
4100100012200
52042312011
6231151224
751132400
oct20200640
98012867
104260256
11244a880
121515514
13b62180
147cc800
15592471
hex4101a0

4260256 has 144 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 1451520.

The previous prime is 4260247. The next prime is 4260257. The reversal of 4260256 is 6520624.

4260256 = T48 + T49 + ... + T294.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4260256.

It is not an unprimeable number, because it can be changed into a prime (4260257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224215 + ... + 224233.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

Almost surely, 24260256 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 4260256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

4260256 is an abundant number, since it is smaller than the sum of its proper divisors (7805504).

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

4260256 is a wasteful number, since it uses less digits than its factorization.

4260256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4260256 is about 2064.0387593260. The cubic root of 4260256 is about 162.1107813114.

The spelling of 4260256 in words is "four million, two hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 19 22 26 28 32 38 44 49 52 56 76 77 88 91 98 104 112 133 143 152 154 176 182 196 208 209 224 247 266 286 304 308 352 364 392 416 418 494 532 539 572 608 616 637 728 784 836 931 988 1001 1064 1078 1144 1232 1274 1456 1463 1568 1672 1729 1862 1976 2002 2128 2156 2288 2464 2548 2717 2912 2926 3344 3458 3724 3952 4004 4256 4312 4576 5096 5434 5852 6688 6916 7007 7448 7904 8008 8624 10192 10241 10868 11704 12103 13832 14014 14896 16016 17248 19019 20384 20482 21736 23408 24206 27664 28028 29792 32032 38038 40964 43472 46816 48412 55328 56056 76076 81928 86944 96824 112112 133133 152152 163856 193648 224224 266266 304304 327712 387296 532532 608608 1065064 2130128 4260256