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679489824 = 253131393917
BaseRepresentation
bin101000100000000…
…011000100100000
31202100120122210210
4220200003010200
52342422133244
6151231454120
722560365616
oct5040030440
91670518723
10679489824
11319610842
1216b687340
13aaa0a9b0
14663596b6
153e9c04b9
hex28803120

679489824 has 96 divisors (see below), whose sum is σ = 1935178560. Its totient is φ = 207516672.

The previous prime is 679489729. The next prime is 679489831. The reversal of 679489824 is 428984976.

It is a tau number, because it is divible by the number of its divisors (96).

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, 171514 + ... + 175430.

It is an arithmetic number, because the mean of its divisors is an integer number (20158110).

Almost surely, 2679489824 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 679489824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967589280).

679489824 is an abundant number, since it is smaller than the sum of its proper divisors (1255688736).

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

679489824 is a wasteful number, since it uses less digits than its factorization.

679489824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4074 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 679489824 is about 26067.0256070768. The cubic root of 679489824 is about 879.1459620599.

The spelling of 679489824 in words is "six hundred seventy-nine million, four hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 208 278 312 416 417 556 624 834 1112 1248 1668 1807 2224 3336 3614 3917 4448 5421 6672 7228 7834 10842 11751 13344 14456 15668 21684 23502 28912 31336 43368 47004 50921 57824 62672 86736 94008 101842 125344 152763 173472 188016 203684 305526 376032 407368 544463 611052 814736 1088926 1222104 1629472 1633389 2177852 2444208 3266778 4355704 4888416 6533556 7078019 8711408 13067112 14156038 17422816 21234057 26134224 28312076 42468114 52268448 56624152 84936228 113248304 169872456 226496608 339744912 679489824