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5466656 = 251317773
BaseRepresentation
bin10100110110101000100000
3101021201211202
4110312220200
52344413111
6313100332
764315526
oct24665040
911251752
105466656
1130a41a8
1219b76a8
131195310
14a24316
1572eb3b
hex536a20

5466656 has 48 divisors (see below), whose sum is σ = 12288024. Its totient is φ = 2371584.

The previous prime is 5466631. The next prime is 5466667. The reversal of 5466656 is 6566645.

It can be written as a sum of positive squares in 4 ways, for example, as 3168400 + 2298256 = 1780^2 + 1516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6686 + ... + 7458.

Almost surely, 25466656 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 5466656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144012).

5466656 is an abundant number, since it is smaller than the sum of its proper divisors (6821368).

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

5466656 is a wasteful number, since it uses less digits than its factorization.

5466656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 5466656 is about 2338.0881078351. The cubic root of 5466656 is about 176.1599785074.

The spelling of 5466656 in words is "five million, four hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 773 884 1546 1768 3092 3536 6184 7072 10049 12368 13141 20098 24736 26282 40196 52564 80392 105128 160784 170833 210256 321568 341666 420512 683332 1366664 2733328 5466656