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8064828 = 2232593797
BaseRepresentation
bin11110110000111100111100
3120011201212100
4132300330330
54031033303
6444505100
7125356422
oct36607474
916151770
108064828
114609252
12284b190
131894ab5
1410dd112
15a948a3
hex7b0f3c

8064828 has 36 divisors (see below), whose sum is σ = 20737080. Its totient is φ = 2642016.

The previous prime is 8064827. The next prime is 8064839. The reversal of 8064828 is 8284608.

8064828 is a `hidden beast` number, since 8 + 0 + 648 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 8064792 and 8064801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226 + ... + 4022.

It is an arithmetic number, because the mean of its divisors is an integer number (576030).

Almost surely, 28064828 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 8064828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368540).

8064828 is an abundant number, since it is smaller than the sum of its proper divisors (12672252).

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

8064828 is a wasteful number, since it uses less digits than its factorization.

8064828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8064828 is about 2839.8640812546. The cubic root of 8064828 is about 200.5387806073.

The spelling of 8064828 in words is "eight million, sixty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 3797 7594 11391 15188 22782 34173 45564 68346 136692 224023 448046 672069 896092 1344138 2016207 2688276 4032414 8064828