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655054848 = 2113275077
BaseRepresentation
bin100111000010110…
…101100000000000
31200122121020022200
4213002311200000
52320143223343
6145000033200
722142605620
oct4702654000
91618536280
10655054848
11306841448
12163462800
13a5933a26
1462dd8880
153c7954d3
hex270b5800

655054848 has 144 divisors (see below), whose sum is σ = 2162618640. Its totient is φ = 187121664.

The previous prime is 655054847. The next prime is 655054853. The reversal of 655054848 is 848450556.

655054848 is a `hidden beast` number, since 6 + 550 + 54 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655054843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126486 + ... + 131562.

It is an arithmetic number, because the mean of its divisors is an integer number (15018185).

Almost surely, 2655054848 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 655054848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081309320).

655054848 is an abundant number, since it is smaller than the sum of its proper divisors (1507563792).

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

655054848 is a wasteful number, since it uses less digits than its factorization.

655054848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 655054848 is about 25594.0393060572. The cubic root of 655054848 is about 868.4788003054.

The spelling of 655054848 in words is "six hundred fifty-five million, fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5077 5376 6144 7168 8064 9216 10154 10752 14336 15231 16128 18432 20308 21504 30462 32256 35539 40616 43008 45693 60924 64512 71078 81232 91386 106617 121848 129024 142156 162464 182772 213234 243696 284312 319851 324928 365544 426468 487392 568624 639702 649856 731088 852936 974784 1137248 1279404 1299712 1462176 1705872 1949568 2274496 2558808 2599424 2924352 3411744 3899136 4548992 5117616 5198848 5848704 6823488 7798272 9097984 10235232 10397696 11697408 13646976 15596544 18195968 20470464 23394816 27293952 31193088 36391936 40940928 46789632 54587904 72783872 81881856 93579264 109175808 163763712 218351616 327527424 655054848