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56981700 = 22325263313
BaseRepresentation
bin1101100101011…
…1100011000100
310222012222012100
43121113203010
5104041403300
65353152100
71261223256
oct331274304
9128188170
1056981700
112a18a216
12170bb630
13ba611a9
1477d3cd6
155008700
hex36578c4

56981700 has 54 divisors (see below), whose sum is σ = 178608794. Its totient is φ = 15194880.

The previous prime is 56981693. The next prime is 56981707. The reversal of 56981700 is 718965.

56981700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56981693) and next prime (56981707).

It can be written as a sum of positive squares in 3 ways, for example, as 10850436 + 46131264 = 3294^2 + 6792^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (56981707) 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 17 ways as a sum of consecutive naturals, for example, 30757 + ... + 32556.

Almost surely, 256981700 is an apocalyptic number.

56981700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56981700 is an abundant number, since it is smaller than the sum of its proper divisors (121627094).

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

56981700 is a wasteful number, since it uses less digits than its factorization.

56981700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63333 (or 63323 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 56981700 is about 7548.6223908737. The cubic root of 56981700 is about 384.8089230054.

The spelling of 56981700 in words is "fifty-six million, nine hundred eighty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 63313 126626 189939 253252 316565 379878 569817 633130 759756 949695 1139634 1266260 1582825 1899390 2279268 2849085 3165650 3798780 4748475 5698170 6331300 9496950 11396340 14245425 18993900 28490850 56981700