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56981250 = 232551013
BaseRepresentation
bin1101100101011…
…1011100000010
310222012221120200
43121113130002
5104041400000
65353150030
71261222044
oct331273402
9128187520
1056981250
112a189947
12170bb316
13ba60c21
1477d3a94
155008500
hex3657702

56981250 has 72 divisors (see below), whose sum is σ = 154466676. Its totient is φ = 15180000.

The previous prime is 56981233. The next prime is 56981261. The reversal of 56981250 is 5218965.

It is a happy number.

56981250 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 6 ways, for example, as 25070049 + 31911201 = 5007^2 + 5649^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 55744 + ... + 56756.

Almost surely, 256981250 is an apocalyptic number.

56981250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56981250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77233338).

56981250 is an abundant number, since it is smaller than the sum of its proper divisors (97485426).

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

56981250 is a wasteful number, since it uses less digits than its factorization.

56981250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 56981250 is about 7548.5925840517. The cubic root of 56981250 is about 384.8079100225.

The spelling of 56981250 in words is "fifty-six million, nine hundred eighty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1013 1125 1250 1875 2026 2250 3039 3125 3750 5065 5625 6078 6250 9117 9375 10130 11250 15195 18234 18750 25325 28125 30390 45585 50650 56250 75975 91170 126625 151950 227925 253250 379875 455850 633125 759750 1139625 1266250 1899375 2279250 3165625 3798750 5698125 6331250 9496875 11396250 18993750 28490625 56981250