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580610472 = 2331312714653
BaseRepresentation
bin100010100110110…
…110100110101000
31111110112001211120
4202212312212220
52142114013342
6133340255240
720250051621
oct4246664650
91443461746
10580610472
11278815272
12142541520
139339a2c0
145717aa48
1535e8caec
hex229b69a8

580610472 has 64 divisors (see below), whose sum is σ = 1575598080. Its totient is φ = 177230592.

The previous prime is 580610461. The next prime is 580610473. The reversal of 580610472 is 274016085.

It is not an unprimeable number, because it can be changed into a prime (580610473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32298 + ... + 46950.

It is an arithmetic number, because the mean of its divisors is an integer number (24618720).

Almost surely, 2580610472 is an apocalyptic number.

580610472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580610472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787799040).

580610472 is an abundant number, since it is smaller than the sum of its proper divisors (994987608).

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

580610472 is a wasteful number, since it uses less digits than its factorization.

580610472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14798 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 580610472 is about 24095.8600593546. The cubic root of 580610472 is about 834.2475787352.

The spelling of 580610472 in words is "five hundred eighty million, six hundred ten thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 381 508 762 1016 1524 1651 3048 3302 4953 6604 9906 13208 14653 19812 29306 39624 43959 58612 87918 117224 175836 190489 351672 380978 571467 761956 1142934 1523912 1860931 2285868 3721862 4571736 5582793 7443724 11165586 14887448 22331172 24192103 44662344 48384206 72576309 96768412 145152618 193536824 290305236 580610472