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580088916 = 2232112336287
BaseRepresentation
bin100010100100110…
…111010001010100
31111102112120101200
4202210313101110
52142000321131
6133321152500
720242450221
oct4244672124
91442476350
10580088916
11278499430
1214232b730
1393246aa4
1457082948
1535dd82e6
hex22937454

580088916 has 72 divisors (see below), whose sum is σ = 1606760064. Its totient is φ = 175002240.

The previous prime is 580088897. The next prime is 580088921. The reversal of 580088916 is 619880085.

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, 89125 + ... + 95411.

It is an arithmetic number, because the mean of its divisors is an integer number (22316112).

Almost surely, 2580088916 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 580088916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803380032).

580088916 is an abundant number, since it is smaller than the sum of its proper divisors (1026671148).

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

580088916 is a wasteful number, since it uses less digits than its factorization.

580088916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 580088916 is about 24085.0351048115. The cubic root of 580088916 is about 833.9977054265.

The spelling of 580088916 in words is "five hundred eighty million, eighty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 233 396 466 699 932 1398 2097 2563 2796 4194 5126 6287 7689 8388 10252 12574 15378 18861 23067 25148 30756 37722 46134 56583 69157 75444 92268 113166 138314 207471 226332 276628 414942 622413 829884 1244826 1464871 2489652 2929742 4394613 5859484 8789226 13183839 16113581 17578452 26367678 32227162 48340743 52735356 64454324 96681486 145022229 193362972 290044458 580088916