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8029104 = 243473559
BaseRepresentation
bin11110101000001110110000
3120002220212020
4132220032300
54023412404
6444031440
7125150316
oct36501660
916086766
108029104
114594426
122832580
131881765
1410d00b6
15a88ed9
hex7a83b0

8029104 has 40 divisors (see below), whose sum is σ = 21189120. Its totient is φ = 2618688.

The previous prime is 8029097. The next prime is 8029157. The reversal of 8029104 is 4019208.

It is a super-2 number, since 2×80291042 = 128933022085632, which contains 22 as substring.

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

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, 477 + ... + 4035.

It is an arithmetic number, because the mean of its divisors is an integer number (529728).

Almost surely, 28029104 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 8029104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594560).

8029104 is an abundant number, since it is smaller than the sum of its proper divisors (13160016).

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

8029104 is a wasteful number, since it uses less digits than its factorization.

8029104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8029104 is about 2833.5673628838. The cubic root of 8029104 is about 200.2422398142.

The spelling of 8029104 in words is "eight million, twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 3559 7118 10677 14236 21354 28472 42708 56944 85416 167273 170832 334546 501819 669092 1003638 1338184 2007276 2676368 4014552 8029104