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580116488 = 23722337247
BaseRepresentation
bin100010100100111…
…110000000001000
31111102120222012212
4202210332000020
52142002211423
6133321524252
720242623500
oct4244760010
91442528185
10580116488
11278508116
12142343688
13932564c3
145708ca00
1535de1578
hex2293e008

580116488 has 144 divisors (see below), whose sum is σ = 1385838720. Its totient is φ = 226461312.

The previous prime is 580116479. The next prime is 580116521. The reversal of 580116488 is 884611085.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12342881 + ... + 12342927.

It is an arithmetic number, because the mean of its divisors is an integer number (9623880).

Almost surely, 2580116488 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 580116488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692919360).

580116488 is an abundant number, since it is smaller than the sum of its proper divisors (805722232).

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

580116488 is a wasteful number, since it uses less digits than its factorization.

580116488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The square root of 580116488 is about 24085.6074866299. The cubic root of 580116488 is about 834.0109186999.

The spelling of 580116488 in words is "five hundred eighty million, one hundred sixteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 37 46 47 49 56 74 92 94 98 148 161 184 188 196 259 296 322 329 376 392 518 644 658 851 1036 1081 1127 1288 1316 1369 1702 1739 1813 2072 2162 2254 2303 2632 2738 3404 3478 3626 4324 4508 4606 5476 5957 6808 6956 7252 7567 8648 9016 9212 9583 10952 11914 12173 13912 14504 15134 18424 19166 23828 24346 30268 31487 38332 39997 41699 47656 48692 52969 60536 62974 64343 67081 76664 79994 83398 85211 97384 105938 125948 128686 134162 159988 166796 170422 211876 220409 251896 257372 268324 279979 319976 333592 340844 423752 440818 450401 514744 536648 559958 681688 881636 900802 1119916 1479889 1542863 1763272 1801604 1959853 2239832 2959778 3085726 3152807 3603208 3919706 5919556 6171452 6305614 7839412 10359223 11839112 12342904 12611228 15678824 20718446 25222456 41436892 72514561 82873784 145029122 290058244 580116488