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8050328 = 23111331227
BaseRepresentation
bin11110101101011010011000
3120010222222022
4132231122120
54030102303
6444314012
7125266226
oct36553230
916128868
108050328
1145a9370
122842908
13188b310
1410d7b16
15a90438
hex7ad698

8050328 has 64 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 3254400.

The previous prime is 8050327. The next prime is 8050351. The reversal of 8050328 is 8230508.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 8050297 and 8050306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8050327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35351 + ... + 35577.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 28050328 is an apocalyptic number.

8050328 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 8050328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

8050328 is an abundant number, since it is smaller than the sum of its proper divisors (10335592).

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

8050328 is a wasteful number, since it uses less digits than its factorization.

8050328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 8050328 is about 2837.3099936383. The cubic root of 8050328 is about 200.4185235792.

Subtracting from 8050328 its product of nonzero digits (1920), we obtain a palindrome (8048408).

The spelling of 8050328 in words is "eight million, fifty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 227 248 286 341 403 454 572 682 806 908 1144 1364 1612 1816 2497 2728 2951 3224 4433 4994 5902 7037 8866 9988 11804 14074 17732 19976 23608 28148 32461 35464 56296 64922 77407 91481 129844 154814 182962 259688 309628 365924 619256 731848 1006291 2012582 4025164 8050328