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968256 = 2632412
BaseRepresentation
bin11101100011001000000
31211012012100
43230121000
5221441011
632430400
711141622
oct3543100
91735170
10968256
11601513
123a8400
1327b943
141b2c12
15141d56
hexec640

968256 has 63 divisors (see below), whose sum is σ = 2844673. Its totient is φ = 314880.

The previous prime is 968251. The next prime is 968263. The reversal of 968256 is 652869.

The square root of 968256 is 984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 921600 = 216^2 + 960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 968256.

It is not an unprimeable number, because it can be changed into a prime (968251) by changing a digit.

968256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23596 + ... + 23636.

968256 is a Friedman number, since it can be written as ((96+6^5)/8)^2, using all its digits and the basic arithmetic operations.

2968256 is an apocalyptic number.

968256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

968256 is the 984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968256

968256 is an abundant number, since it is smaller than the sum of its proper divisors (1876417).

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

968256 is a wasteful number, since it uses less digits than its factorization.

968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 46 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 968256 is about 98.9304684709.

Multiplying 968256 by its sum of digits (36), we get a square (34857216 = 59042).

968256 divided by its sum of digits (36) gives a square (26896 = 1642).

It can be divided in two parts, 9 and 68256, that added together give a triangular number (68265 = T369).

The spelling of 968256 in words is "nine hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1681 1968 2624 2952 3362 3936 5043 5904 6724 7872 10086 11808 13448 15129 20172 23616 26896 30258 40344 53792 60516 80688 107584 121032 161376 242064 322752 484128 968256