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580989312 = 27322711861
BaseRepresentation
bin100010101000010…
…011000110000000
31111111020022111200
4202220103012000
52142213124222
6133352341200
720253220251
oct4250230600
91444208450
10580989312
11278a53962
121426a4800
13934a0877
1457238b28
1536014eac
hex22a13180

580989312 has 96 divisors (see below), whose sum is σ = 1678928160. Its totient is φ = 192844800.

The previous prime is 580989287. The next prime is 580989347. The reversal of 580989312 is 213989085.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311262 + ... + 313122.

It is an arithmetic number, because the mean of its divisors is an integer number (17488835).

Almost surely, 2580989312 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 580989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839464080).

580989312 is an abundant number, since it is smaller than the sum of its proper divisors (1097938848).

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

580989312 is a wasteful number, since it uses less digits than its factorization.

580989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 580989312 is about 24103.7198788901. The cubic root of 580989312 is about 834.4289841434.

The spelling of 580989312 in words is "five hundred eighty million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 271 288 384 542 576 813 1084 1152 1626 1861 2168 2439 3252 3722 4336 4878 5583 6504 7444 8672 9756 11166 13008 14888 16749 17344 19512 22332 26016 29776 33498 34688 39024 44664 52032 59552 66996 78048 89328 104064 119104 133992 156096 178656 238208 267984 312192 357312 504331 535968 714624 1008662 1071936 1512993 2017324 2143872 3025986 4034648 4538979 6051972 8069296 9077958 12103944 16138592 18155916 24207888 32277184 36311832 48415776 64554368 72623664 96831552 145247328 193663104 290494656 580989312