Search a number
-
+
10408528 = 2413163307
BaseRepresentation
bin100111101101…
…001001010000
3201120210211001
4213231021100
510131033103
61011031344
7154320364
oct47551120
921523731
1010408528
11596a099
12359b554
1322057c0
14154d2a4
15da901d
hex9ed250

10408528 has 40 divisors (see below), whose sum is σ = 21922208. Its totient is φ = 4758912.

The previous prime is 10408513. The next prime is 10408553. The reversal of 10408528 is 82580401.

It is a junction number, because it is equal to n+sod(n) for n = 10408496 and 10408505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33751 + ... + 34057.

Almost surely, 210408528 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 10408528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961104).

10408528 is an abundant number, since it is smaller than the sum of its proper divisors (11513680).

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

10408528 is a wasteful number, since it uses less digits than its factorization.

10408528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 10408528 is about 3226.2250386481. The cubic root of 10408528 is about 218.3382231228.

Adding to 10408528 its reverse (82580401), we get a palindrome (92988929).

The spelling of 10408528 in words is "ten million, four hundred eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 163 208 307 326 614 652 1228 1304 2119 2456 2608 3991 4238 4912 7982 8476 15964 16952 31928 33904 50041 63856 100082 200164 400328 650533 800656 1301066 2602132 5204264 10408528