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482696550 = 23352727297
BaseRepresentation
bin11100110001010…
…101110101100110
31020122021112012000
4130301111311212
51442032242200
6115521510130
714650565400
oct3461256546
91218245160
10482696550
11228519076
121157a2346
137900717b
144816db70
152c59b300
hex1cc55d66

482696550 has 144 divisors (see below), whose sum is σ = 1547467920. Its totient is φ = 110315520.

The previous prime is 482696549. The next prime is 482696579. The reversal of 482696550 is 55696284.

482696550 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 96 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 482696496 and 482696505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62502 + ... + 69798.

It is an arithmetic number, because the mean of its divisors is an integer number (10746305).

Almost surely, 2482696550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482696550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773733960).

482696550 is an abundant number, since it is smaller than the sum of its proper divisors (1064771370).

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

482696550 is a wasteful number, since it uses less digits than its factorization.

482696550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7332 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 482696550 is about 21970.3561646142. The cubic root of 482696550 is about 784.4369906510.

The spelling of 482696550 in words is "four hundred eighty-two million, six hundred ninety-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 90 98 105 126 135 147 150 175 189 210 225 245 270 294 315 350 378 441 450 490 525 630 675 735 882 945 1050 1225 1323 1350 1470 1575 1890 2205 2450 2646 3150 3675 4410 4725 6615 7297 7350 9450 11025 13230 14594 21891 22050 33075 36485 43782 51079 65673 66150 72970 102158 109455 131346 153237 182425 197019 218910 255395 306474 328365 357553 364850 394038 459711 510790 547275 656730 715106 766185 919422 985095 1072659 1094550 1276975 1379133 1532370 1641825 1787765 1970190 2145318 2298555 2553950 2758266 3217977 3283650 3575530 3830925 4597110 4925475 5363295 6435954 6895665 7661850 8938825 9653931 9850950 10726590 11492775 13791330 16089885 17877650 19307862 22985550 26816475 32179770 34478325 48269655 53632950 68956650 80449425 96539310 160898850 241348275 482696550