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679911264 = 253229127641
BaseRepresentation
bin101000100001101…
…001111101100000
31202101101001220200
4220201221331200
52343024130024
6151244505200
722564102404
oct5041517540
91671331820
10679911264
1131987943a
1216b84b200
13aab27776
1466429104
153ea552c9
hex28869f60

679911264 has 144 divisors (see below), whose sum is σ = 2019064320. Its totient is φ = 216760320.

The previous prime is 679911203. The next prime is 679911283. The reversal of 679911264 is 462119976.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1060384 + ... + 1061024.

It is an arithmetic number, because the mean of its divisors is an integer number (14021280).

Almost surely, 2679911264 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 679911264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009532160).

679911264 is an abundant number, since it is smaller than the sum of its proper divisors (1339153056).

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

679911264 is a wasteful number, since it uses less digits than its factorization.

679911264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 679911264 is about 26075.1081301689. The cubic root of 679911264 is about 879.3276820738.

The spelling of 679911264 in words is "six hundred seventy-nine million, nine hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 127 144 174 232 254 261 288 348 381 464 508 522 641 696 762 928 1016 1044 1143 1282 1392 1524 1923 2032 2088 2286 2564 2784 3048 3683 3846 4064 4176 4572 5128 5769 6096 7366 7692 8352 9144 10256 11049 11538 12192 14732 15384 18288 18589 20512 22098 23076 29464 30768 33147 36576 37178 44196 46152 55767 58928 61536 66294 74356 81407 88392 92304 111534 117856 132588 148712 162814 167301 176784 184608 223068 244221 265176 297424 325628 334602 353568 446136 488442 530352 594848 651256 669204 732663 892272 976884 1060704 1302512 1338408 1465326 1784544 1953768 2360803 2605024 2676816 2930652 3907536 4721606 5353632 5861304 7082409 7815072 9443212 11722608 14164818 18886424 21247227 23445216 28329636 37772848 42494454 56659272 75545696 84988908 113318544 169977816 226637088 339955632 679911264