Search a number
-
+
10649808 = 2432135689
BaseRepresentation
bin101000101000…
…000011010000
3202001001210100
4220220003100
510211243213
61020132400
7156344001
oct50500320
922031710
1010649808
1160143a4
123697100
13228b580
1415b31a8
15e05773
hexa280d0

10649808 has 60 divisors (see below), whose sum is σ = 32102980. Its totient is φ = 3276288.

The previous prime is 10649801. The next prime is 10649827. The reversal of 10649808 is 80894601.

It is a happy number.

10649808 is a `hidden beast` number, since 1 + 0 + 649 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6290064 + 4359744 = 2508^2 + 2088^2 .

It is a super-2 number, since 2×106498082 = 226836820873728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10649801) 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 11 ways as a sum of consecutive naturals, for example, 973 + ... + 4716.

Almost surely, 210649808 is an apocalyptic number.

10649808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10649808 is an abundant number, since it is smaller than the sum of its proper divisors (21453172).

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

10649808 is a wasteful number, since it uses less digits than its factorization.

10649808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10649808 is about 3263.4043574157. The cubic root of 10649808 is about 220.0124510859.

The spelling of 10649808 in words is "ten million, six hundred forty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 5689 11378 17067 22756 34134 45512 51201 68268 73957 91024 102402 136536 147914 204804 221871 273072 295828 409608 443742 591656 665613 819216 887484 1183312 1331226 1774968 2662452 3549936 5324904 10649808