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627114096 = 24337297151
BaseRepresentation
bin100101011000010…
…000000001110000
31121201000200211000
4211120100001300
52241020122341
6142121122000
721353244660
oct4530200160
91551020730
10627114096
112a1a98114
12156029300
139cc0013b
145d4041a0
153a0c68b6
hex25610070

627114096 has 160 divisors (see below), whose sum is σ = 2128435200. Its totient is φ = 172972800.

The previous prime is 627114079. The next prime is 627114109. The reversal of 627114096 is 690411726.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 627114096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84121 + ... + 91271.

It is an arithmetic number, because the mean of its divisors is an integer number (13302720).

Almost surely, 2627114096 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 627114096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064217600).

627114096 is an abundant number, since it is smaller than the sum of its proper divisors (1501321104).

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

627114096 is a wasteful number, since it uses less digits than its factorization.

627114096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 627114096 is about 25042.2462251292. The cubic root of 627114096 is about 855.9509026488.

The spelling of 627114096 in words is "six hundred twenty-seven million, one hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1624 1827 2088 2436 3024 3132 3248 3654 4176 4872 5481 6264 7151 7308 9744 10962 12528 14302 14616 21453 21924 28604 29232 42906 43848 50057 57208 64359 85812 87696 100114 114416 128718 150171 171624 193077 200228 207379 257436 300342 343248 386154 400456 414758 450513 514872 600684 622137 772308 800912 829516 901026 1029744 1201368 1244274 1351539 1451653 1544616 1659032 1802052 1866411 2402736 2488548 2703078 2903306 3089232 3318064 3604104 3732822 4354959 4977096 5406156 5599233 5806612 7208208 7465644 8709918 9954192 10812312 11198466 11613224 13064877 14931288 17419836 21624624 22396932 23226448 26129754 29862576 34839672 39194631 44793864 52259508 69679344 78389262 89587728 104519016 156778524 209038032 313557048 627114096