Search a number
-
+
10256528 = 242347593
BaseRepresentation
bin100111001000…
…000010010000
3201022002022102
4213020002100
510111202103
61003455532
7153115262
oct47100220
921262272
1010256528
115875977
1235275a8
132181569
14150db32
15d78e88
hex9c8090

10256528 has 40 divisors (see below), whose sum is σ = 21212928. Its totient is φ = 4792832.

The previous prime is 10256527. The next prime is 10256531. The reversal of 10256528 is 82565201.

It is a super-2 number, since 2×102565282 = 210392733229568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10256528.

It is not an unprimeable number, because it can be changed into a prime (10256527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17000 + ... + 17592.

Almost surely, 210256528 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 10256528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10606464).

10256528 is an abundant number, since it is smaller than the sum of its proper divisors (10956400).

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

10256528 is a wasteful number, since it uses less digits than its factorization.

10256528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 10256528 is about 3202.5814587610. The cubic root of 10256528 is about 217.2701795835.

The spelling of 10256528 in words is "ten million, two hundred fifty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 593 752 1081 1186 2162 2372 4324 4744 8648 9488 13639 17296 27278 27871 54556 55742 109112 111484 218224 222968 445936 641033 1282066 2564132 5128264 10256528