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580314264 = 233194727077
BaseRepresentation
bin100010100101101…
…110010010011000
31111102222000111220
4202211232102120
52142030024024
6133330052040
720244406215
oct4245562230
91442860456
10580314264
11278632772
1214241a020
13932c552a
1457100b0c
1535e2ee79
hex2296e498

580314264 has 64 divisors (see below), whose sum is σ = 1559692800. Its totient is φ = 179351424.

The previous prime is 580314239. The next prime is 580314299. The reversal of 580314264 is 462413085.

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 15 ways as a sum of consecutive naturals, for example, 7894 + ... + 34970.

It is an arithmetic number, because the mean of its divisors is an integer number (24370200).

Almost surely, 2580314264 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 580314264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779846400).

580314264 is an abundant number, since it is smaller than the sum of its proper divisors (979378536).

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

580314264 is a wasteful number, since it uses less digits than its factorization.

580314264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27152 (or 27148 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 580314264 is about 24089.7128251874. The cubic root of 580314264 is about 834.1056862196.

The spelling of 580314264 in words is "five hundred eighty million, three hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 564 893 1128 1786 2679 3572 5358 7144 10716 21432 27077 54154 81231 108308 162462 216616 324924 514463 649848 1028926 1272619 1543389 2057852 2545238 3086778 3817857 4115704 5090476 6173556 7635714 10180952 12347112 15271428 24179761 30542856 48359522 72539283 96719044 145078566 193438088 290157132 580314264