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8493696 = 273273101
BaseRepresentation
bin100000011001…
…101010000000
3120222112011100
4200121222000
54133244241
6502014400
7132123651
oct40315200
916875140
108493696
114881492
122a17400
1319b5073
1411b1528
15b2b9b6
hex819a80

8493696 has 96 divisors (see below), whose sum is σ = 25021620. Its totient is φ = 2764800.

The previous prime is 8493673. The next prime is 8493697. The reversal of 8493696 is 6963948.

It can be written as a sum of positive squares in 2 ways, for example, as 7617600 + 876096 = 2760^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (8493697) 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 11 ways as a sum of consecutive naturals, for example, 84046 + ... + 84146.

Almost surely, 28493696 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 8493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510810).

8493696 is an abundant number, since it is smaller than the sum of its proper divisors (16527924).

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

8493696 is a wasteful number, since it uses less digits than its factorization.

8493696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 8493696 is about 2914.3946198139. The cubic root of 8493696 is about 204.0322901597.

The spelling of 8493696 in words is "eight million, four hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 101 128 144 146 192 202 219 288 292 303 384 404 438 576 584 606 657 808 876 909 1152 1168 1212 1314 1616 1752 1818 2336 2424 2628 3232 3504 3636 4672 4848 5256 6464 7008 7272 7373 9344 9696 10512 12928 14016 14544 14746 19392 21024 22119 28032 29088 29492 38784 42048 44238 58176 58984 66357 84096 88476 116352 117968 132714 176952 235936 265428 353904 471872 530856 707808 943744 1061712 1415616 2123424 2831232 4246848 8493696