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8050768 = 2411149307
BaseRepresentation
bin11110101101100001010000
3120011000120121
4132231201100
54030111033
6444320024
7125300425
oct36554120
916130517
108050768
1145a9730
122843014
13188b58b
1410d7d4c
15a9062d
hex7ad850

8050768 has 40 divisors (see below), whose sum is σ = 17186400. Its totient is φ = 3623040.

The previous prime is 8050739. The next prime is 8050807. The reversal of 8050768 is 8670508.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 26071 + ... + 26377.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 28050768 is an apocalyptic number.

8050768 is a gapful number since it is divisible by the number (88) 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 8050768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593200).

8050768 is an abundant number, since it is smaller than the sum of its proper divisors (9135632).

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

8050768 is a wasteful number, since it uses less digits than its factorization.

8050768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 8050768 is about 2837.3875308107. The cubic root of 8050768 is about 200.4221748815.

The spelling of 8050768 in words is "eight million, fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 298 307 596 614 1192 1228 1639 2384 2456 3278 3377 4912 6556 6754 13112 13508 26224 27016 45743 54032 91486 182972 365944 503173 731888 1006346 2012692 4025384 8050768