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8045696 = 27239263
BaseRepresentation
bin11110101100010010000000
3120010202121202
4132230102000
54024430241
6444240332
7125246561
oct36542200
916122552
108045696
1145a593a
1228400a8
131889189
1410d6168
15a8dd9b
hex7ac480

8045696 has 32 divisors (see below), whose sum is σ = 16156800. Its totient is φ = 3990784.

The previous prime is 8045671. The next prime is 8045701. The reversal of 8045696 is 6965408.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30461 + ... + 30723.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 28045696 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 8045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078400).

8045696 is an abundant number, since it is smaller than the sum of its proper divisors (8111104).

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

8045696 is a wasteful number, since it uses less digits than its factorization.

8045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 8045696 is about 2836.4936100757. The cubic root of 8045696 is about 200.3800772489.

The spelling of 8045696 in words is "eight million, forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 239 263 478 526 956 1052 1912 2104 3824 4208 7648 8416 15296 16832 30592 33664 62857 125714 251428 502856 1005712 2011424 4022848 8045696