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665605648 = 242361149199
BaseRepresentation
bin100111101011000…
…101011000010000
31201101110021022001
4213223011120100
52330343340043
6150014123344
722331361151
oct4753053020
91641407261
10665605648
11311798414
12166ab0554
13a7b891c6
1464583928
153d67b74d
hex27ac5610

665605648 has 80 divisors (see below), whose sum is σ = 1383840000. Its totient is φ = 309450240.

The previous prime is 665605639. The next prime is 665605693. The reversal of 665605648 is 846506566.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 665605598 and 665605607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3344653 + ... + 3344851.

It is an arithmetic number, because the mean of its divisors is an integer number (17298000).

Almost surely, 2665605648 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 665605648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691920000).

665605648 is an abundant number, since it is smaller than the sum of its proper divisors (718234352).

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

665605648 is a wasteful number, since it uses less digits than its factorization.

665605648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The square root of 665605648 is about 25799.3342549764. The cubic root of 665605648 is about 873.1167760681.

The spelling of 665605648 in words is "six hundred sixty-five million, six hundred five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 46 61 92 122 149 184 199 244 298 368 398 488 596 796 976 1192 1403 1592 2384 2806 3184 3427 4577 5612 6854 9089 9154 11224 12139 13708 18178 18308 22448 24278 27416 29651 36356 36616 48556 54832 59302 72712 73232 97112 118604 145424 194224 209047 237208 279197 418094 474416 558394 681973 836188 1116788 1363946 1672376 1808711 2233576 2727892 3344752 3617422 4467152 5455784 7234844 10911568 14469688 28939376 41600353 83200706 166401412 332802824 665605648