Search a number
-
+
4528656 = 243311953
BaseRepresentation
bin10001010001101000010000
322112002011000
4101101220100
52124404111
6241022000
753331036
oct21215020
98462130
104528656
1126134a0
121624900
13c273a2
1485c556
155e6c56
hex451a10

4528656 has 80 divisors (see below), whose sum is σ = 14195520. Its totient is φ = 1370880.

The previous prime is 4528633. The next prime is 4528661. The reversal of 4528656 is 6568254.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4528656.

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 15 ways as a sum of consecutive naturals, for example, 4276 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (177444).

Almost surely, 24528656 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 4528656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097760).

4528656 is an abundant number, since it is smaller than the sum of its proper divisors (9666864).

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

4528656 is a wasteful number, since it uses less digits than its factorization.

4528656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 969 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 4528656 is about 2128.0639088148. The cubic root of 4528656 is about 165.4460657337.

It can be divided in two parts, 4528 and 656, that added together give a square (5184 = 722).

The spelling of 4528656 in words is "four million, five hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 953 1188 1584 1906 2376 2859 3812 4752 5718 7624 8577 10483 11436 15248 17154 20966 22872 25731 31449 34308 41932 45744 51462 62898 68616 83864 94347 102924 125796 137232 167728 188694 205848 251592 283041 377388 411696 503184 566082 754776 1132164 1509552 2264328 4528656