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6455696 = 241341757
BaseRepresentation
bin11000101000000110010000
3110010222112212
4120220012100
53123040241
6350211252
7105605162
oct30500620
913128485
106455696
11370a295
1221b3b28
131450550
14c00932
15877beb
hex628190

6455696 has 40 divisors (see below), whose sum is σ = 13816824. Its totient is φ = 2903040.

The previous prime is 6455689. The next prime is 6455707. The reversal of 6455696 is 6965546.

6455696 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 4 ways, for example, as 4096 + 6451600 = 64^2 + 2540^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8150 + ... + 8906.

Almost surely, 26455696 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 6455696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908412).

6455696 is an abundant number, since it is smaller than the sum of its proper divisors (7361128).

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

6455696 is a wasteful number, since it uses less digits than its factorization.

6455696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its digits is 194400, while the sum is 41.

The square root of 6455696 is about 2540.8061712771. The cubic root of 6455696 is about 186.2005775507.

It can be divided in two parts, 64 and 55696, that multiplied together give a square (3564544 = 18882).

The spelling of 6455696 in words is "six million, four hundred fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 757 1066 1514 2132 3028 4264 6056 8528 9841 12112 19682 31037 39364 62074 78728 124148 157456 248296 403481 496592 806962 1613924 3227848 6455696