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8429064 = 2337131383
BaseRepresentation
bin100000001001…
…111000001000
3120212020111120
4200021320020
54124212224
6500355240
7131434350
oct40117010
916766446
108429064
114837976
1229a5b20
131991817
141195b60
15b17779
hex809e08

8429064 has 64 divisors (see below), whose sum is σ = 24330240. Its totient is φ = 2383680.

The previous prime is 8429051. The next prime is 8429089. The reversal of 8429064 is 4609248.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21817 + ... + 22199.

It is an arithmetic number, because the mean of its divisors is an integer number (380160).

Almost surely, 28429064 is an apocalyptic number.

8429064 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 8429064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165120).

8429064 is an abundant number, since it is smaller than the sum of its proper divisors (15901176).

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

8429064 is a wasteful number, since it uses less digits than its factorization.

8429064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8429064 is about 2903.2850359550. The cubic root of 8429064 is about 203.5134502436.

The spelling of 8429064 in words is "eight million, four hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 383 393 524 766 786 917 1048 1149 1532 1572 1834 2298 2681 2751 3064 3144 3668 4596 5362 5502 7336 8043 9192 10724 11004 16086 21448 22008 32172 50173 64344 100346 150519 200692 301038 351211 401384 602076 702422 1053633 1204152 1404844 2107266 2809688 4214532 8429064