Search a number
-
+
56216000 = 26537027
BaseRepresentation
bin1101011001110…
…0100111000000
310220210001212002
43112130213000
5103342403000
65324523132
71251554021
oct326344700
9126701762
1056216000
1129806a05
12169b04a8
13b853809
147674c48
154e068d5
hex359c9c0

56216000 has 56 divisors (see below), whose sum is σ = 139238736. Its totient is φ = 22483200.

The previous prime is 56215993. The next prime is 56216009. The reversal of 56216000 is 61265.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56216009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4487 + ... + 11513.

It is an arithmetic number, because the mean of its divisors is an integer number (2486406).

Almost surely, 256216000 is an apocalyptic number.

56216000 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 56216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69619368).

56216000 is an abundant number, since it is smaller than the sum of its proper divisors (83022736).

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

56216000 is an equidigital number, since it uses as much as digits as its factorization.

56216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 56216000 is about 7497.7329907113. The cubic root of 56216000 is about 383.0775020576.

Adding to 56216000 its reverse (61265), we get a palindrome (56277265).

The spelling of 56216000 in words is "fifty-six million, two hundred sixteen 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 7027 8000 14054 28108 35135 56216 70270 112432 140540 175675 224864 281080 351350 449728 562160 702700 878375 1124320 1405400 1756750 2248640 2810800 3513500 5621600 7027000 11243200 14054000 28108000 56216000