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968832 = 2732292
BaseRepresentation
bin11101100100010000000
31211012222200
43230202000
5222000312
632433200
711143404
oct3544200
91735880
10968832
11601997
123a8800
1327bc97
141b3104
151420dc
hexec880

968832 has 72 divisors (see below), whose sum is σ = 2887365. Its totient is φ = 311808.

The previous prime is 968831. The next prime is 968857. The reversal of 968832 is 238869.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 968256 + 576 = 984^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=696.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968832.

It is not an unprimeable number, because it can be changed into a prime (968831) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 33394 + ... + 33422.

968832 is a Friedman number, since it can be written as 8*(38*9+6)^2, using all its digits and the basic arithmetic operations.

2968832 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 968832

968832 is an abundant number, since it is smaller than the sum of its proper divisors (1918533).

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

968832 is a wasteful number, since it uses less digits than its factorization.

968832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 968832 is about 984.2926394117. The cubic root of 968832 is about 98.9500819664.

The spelling of 968832 in words is "nine hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 841 928 1044 1152 1392 1682 1856 2088 2523 2784 3364 3712 4176 5046 5568 6728 7569 8352 10092 11136 13456 15138 16704 20184 26912 30276 33408 40368 53824 60552 80736 107648 121104 161472 242208 322944 484416 968832