Search a number
-
+
26480256 = 273116269
BaseRepresentation
bin110010100000…
…0111010000000
31211211100002020
41211000322000
523234332011
62343321440
7441035625
oct145007200
954740066
1026480256
1113a47010
128a50280
135641bba
14373434c
1524d1006
hex1940e80

26480256 has 64 divisors (see below), whose sum is σ = 76744800. Its totient is φ = 8023040.

The previous prime is 26480221. The next prime is 26480257. The reversal of 26480256 is 65208462.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (26480257) 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, 1090 + ... + 7358.

Almost surely, 226480256 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 26480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38372400).

26480256 is an abundant number, since it is smaller than the sum of its proper divisors (50264544).

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

26480256 is a wasteful number, since it uses less digits than its factorization.

26480256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 26480256 is about 5145.8970063537. The cubic root of 26480256 is about 298.0625366105.

The spelling of 26480256 in words is "twenty-six million, four hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 6269 12538 18807 25076 37614 50152 68959 75228 100304 137918 150456 200608 206877 275836 300912 401216 413754 551672 601824 802432 827508 1103344 1203648 1655016 2206688 2407296 3310032 4413376 6620064 8826752 13240128 26480256