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56303200 = 255270379
BaseRepresentation
bin1101011011000…
…1111001100000
310220221111110201
43112301321200
5103403200300
65330434544
71252366162
oct326617140
9126844421
1056303200
1129866478
1216a32a54
13b884405
147698932
154e2266a
hex35b1e60

56303200 has 36 divisors (see below), whose sum is σ = 137452140. Its totient is φ = 22520960.

The previous prime is 56303189. The next prime is 56303243. The reversal of 56303200 is 230365.

56303200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 34390 + ... + 35989.

It is an arithmetic number, because the mean of its divisors is an integer number (3818115).

Almost surely, 256303200 is an apocalyptic number.

56303200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56303200 is an abundant number, since it is smaller than the sum of its proper divisors (81148940).

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

56303200 is a wasteful number, since it uses less digits than its factorization.

56303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70399 (or 70386 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 56303200 is about 7503.5458284734. The cubic root of 56303200 is about 383.2754712076.

Adding to 56303200 its reverse (230365), we get a palindrome (56533565).

The spelling of 56303200 in words is "fifty-six million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 70379 140758 281516 351895 563032 703790 1126064 1407580 1759475 2252128 2815160 3518950 5630320 7037900 11260640 14075800 28151600 56303200