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8051064 = 2337172819
BaseRepresentation
bin11110101101100101111000
3120011000222120
4132231211320
54030113224
6444321240
7125301330
oct36554570
916130876
108051064
1145a997a
122843220
13188b758
1410d80c0
15a90779
hex7ad978

8051064 has 64 divisors (see below), whose sum is σ = 24364800. Its totient is φ = 2164224.

The previous prime is 8051063. The next prime is 8051077. The reversal of 8051064 is 4601508.

8051064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8051063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447 + ... + 4265.

It is an arithmetic number, because the mean of its divisors is an integer number (380700).

Almost surely, 28051064 is an apocalyptic number.

8051064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8051064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182400).

8051064 is an abundant number, since it is smaller than the sum of its proper divisors (16313736).

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

8051064 is a wasteful number, since it uses less digits than its factorization.

8051064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8051064 is about 2837.4396909890. The cubic root of 8051064 is about 200.4246311373.

The spelling of 8051064 in words is "eight million, fifty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2819 2856 5638 8457 11276 16914 19733 22552 33828 39466 47923 59199 67656 78932 95846 118398 143769 157864 191692 236796 287538 335461 383384 473592 575076 670922 1006383 1150152 1341844 2012766 2683688 4025532 8051064