Search a number
-
+
7700256 = 253226737
BaseRepresentation
bin11101010111111100100000
3112111012202200
4131113330200
53432402011
6433013200
7122310504
oct35277440
915435680
107700256
11438a353
1226b4200
131797b85
141046304
15a21856
hex757f20

7700256 has 36 divisors (see below), whose sum is σ = 21898422. Its totient is φ = 2566656.

The previous prime is 7700249. The next prime is 7700257. The reversal of 7700256 is 6520077.

7700256 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6051600 + 1648656 = 2460^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (7700257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13081 + ... + 13656.

Almost surely, 27700256 is an apocalyptic number.

It is an amenable number.

7700256 is an abundant number, since it is smaller than the sum of its proper divisors (14198166).

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

7700256 is a wasteful number, since it uses less digits than its factorization.

7700256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26753 (or 26742 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 7700256 is about 2774.9335127170. The cubic root of 7700256 is about 197.4702705879.

The spelling of 7700256 in words is "seven million, seven hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 26737 53474 80211 106948 160422 213896 240633 320844 427792 481266 641688 855584 962532 1283376 1925064 2566752 3850128 7700256