Search a number
-
+
56060496 = 2432735333
BaseRepresentation
bin1101010111011…
…0101001010000
310220111011112200
43111312221100
5103322413441
65321323200
71250335452
oct325665120
9126434480
1056060496
1129710098
1216936500
13b7caabb
1476342d2
154dc57b6
hex3576a50

56060496 has 60 divisors (see below), whose sum is σ = 159070548. Its totient is φ = 18427392.

The previous prime is 56060483. The next prime is 56060497. The reversal of 56060496 is 69406065.

It is a happy number.

56060496 is a `hidden beast` number, since 5 + 606 + 0 + 49 + 6 = 666.

56060496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48108096 + 7952400 = 6936^2 + 2820^2 .

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 56060496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56060497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7846 + ... + 13178.

Almost surely, 256060496 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 56060496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79535274).

56060496 is an abundant number, since it is smaller than the sum of its proper divisors (103010052).

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

56060496 is a wasteful number, since it uses less digits than its factorization.

56060496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56060496 is about 7487.3557415152. The cubic root of 56060496 is about 382.7239544568.

The spelling of 56060496 in words is "fifty-six million, sixty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 5333 10512 10666 15999 21332 31998 42664 47997 63996 85328 95994 127992 191988 255984 383976 389309 767952 778618 1167927 1557236 2335854 3114472 3503781 4671708 6228944 7007562 9343416 14015124 18686832 28030248 56060496