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8253696 = 28311977
BaseRepresentation
bin11111011111000100000000
3120112022221110
4133133010000
54103104241
6452523320
7130104153
oct37370400
916468843
108253696
114728140
122920540
13192ca59
14114bc9a
15ad0816
hex7df100

8253696 has 72 divisors (see below), whose sum is σ = 23988384. Its totient is φ = 2498560.

The previous prime is 8253691. The next prime is 8253697. The reversal of 8253696 is 6963528.

It is not an unprimeable number, because it can be changed into a prime (8253691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7960 + ... + 8936.

It is an arithmetic number, because the mean of its divisors is an integer number (333172).

Almost surely, 28253696 is an apocalyptic number.

8253696 is the 1536-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11994192).

8253696 is an abundant number, since it is smaller than the sum of its proper divisors (15734688).

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

8253696 is a wasteful number, since it uses less digits than its factorization.

8253696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 993 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 8253696 is about 2872.9246422418. The cubic root of 8253696 is about 202.0921711183.

The spelling of 8253696 in words is "eight million, two hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 977 1056 1408 1954 2112 2816 2931 3908 4224 5862 7816 8448 10747 11724 15632 21494 23448 31264 32241 42988 46896 62528 64482 85976 93792 125056 128964 171952 187584 250112 257928 343904 375168 515856 687808 750336 1031712 1375616 2063424 2751232 4126848 8253696