Search a number
-
+
55928000 = 26536991
BaseRepresentation
bin1101010101011…
…0010011000000
310220020102210102
43111112103000
5103304144000
65314421532
71246244252
oct325262300
9126212712
1055928000
112962a597
12168918a8
13b7826bb
1475dbcd2
154d9b3d5
hex35564c0

55928000 has 56 divisors (see below), whose sum is σ = 138525504. Its totient is φ = 22368000.

The previous prime is 55927987. The next prime is 55928003. The reversal of 55928000 is 82955.

It is not an unprimeable number, because it can be changed into a prime (55928003) by changing a digit.

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, 4505 + ... + 11495.

Almost surely, 255928000 is an apocalyptic number.

55928000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69262752).

55928000 is an abundant number, since it is smaller than the sum of its proper divisors (82597504).

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

55928000 is an equidigital number, since it uses as much as digits as its factorization.

55928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 55928000 is about 7478.5025239014. The cubic root of 55928000 is about 382.4222007033.

The spelling of 55928000 in words is "fifty-five million, nine hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 6991 8000 13982 27964 34955 55928 69910 111856 139820 174775 223712 279640 349550 447424 559280 699100 873875 1118560 1398200 1747750 2237120 2796400 3495500 5592800 6991000 11185600 13982000 27964000 55928000