Search a number
-
+
5566464 = 21232151
BaseRepresentation
bin10101001111000000000000
3101110210202100
4111033000000
52411111324
6315150400
765212521
oct25170000
911423670
105566464
113162192
121a45400
1311cb887
14a4c848
1574e4c9
hex54f000

5566464 has 78 divisors (see below), whose sum is σ = 16185416. Its totient is φ = 1843200.

The previous prime is 5566441. The next prime is 5566481. The reversal of 5566464 is 4646655.

It is a happy number.

5566464 is a `hidden beast` number, since 5 + 5 + 6 + 646 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36789 + ... + 36939.

Almost surely, 25566464 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 5566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8092708).

5566464 is an abundant number, since it is smaller than the sum of its proper divisors (10618952).

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

5566464 is a wasteful number, since it uses less digits than its factorization.

5566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5566464 is about 2359.3354996693. The cubic root of 5566464 is about 177.2256052626.

The spelling of 5566464 in words is "five million, five hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 256 288 302 384 453 512 576 604 768 906 1024 1152 1208 1359 1536 1812 2048 2304 2416 2718 3072 3624 4096 4608 4832 5436 6144 7248 9216 9664 10872 12288 14496 18432 19328 21744 28992 36864 38656 43488 57984 77312 86976 115968 154624 173952 231936 309248 347904 463872 618496 695808 927744 1391616 1855488 2783232 5566464