Search a number
-
+
5686272 = 21032617
BaseRepresentation
bin10101101100010000000000
3101200220002200
4111230100000
52423430042
6321513200
766222024
oct25542000
911626080
105686272
1132341a9
121aa2800
131241277
14a80384
15774c4c
hex56c400

5686272 has 66 divisors (see below), whose sum is σ = 16445598. Its totient is φ = 1892352.

The previous prime is 5686259. The next prime is 5686297. The reversal of 5686272 is 2726865.

It can be written as a sum of positive squares in only one way, i.e., 3326976 + 2359296 = 1824^2 + 1536^2 .

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

It is a d-powerful number, because it can be written as 59 + 62 + 87 + 67 + 213 + 77 + 219 .

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, 8908 + ... + 9524.

Almost surely, 25686272 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 5686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8222799).

5686272 is an abundant number, since it is smaller than the sum of its proper divisors (10759326).

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

5686272 is a wasteful number, since it uses less digits than its factorization.

5686272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 5686272 is about 2384.5905308879. The cubic root of 5686272 is about 178.4880767876.

The spelling of 5686272 in words is "five million, six hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 617 768 1024 1152 1234 1536 1851 2304 2468 3072 3702 4608 4936 5553 7404 9216 9872 11106 14808 19744 22212 29616 39488 44424 59232 78976 88848 118464 157952 177696 236928 315904 355392 473856 631808 710784 947712 1421568 1895424 2843136 5686272