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56323200 = 273525867
BaseRepresentation
bin1101011011011…
…0110010000000
310220222111220110
43112312302000
5103404320300
65331111320
71252511403
oct326666200
9126874813
1056323200
112987a4aa
1216a42540
13b89054b
1476a1d3a
154e28550
hex35b6c80

56323200 has 96 divisors (see below), whose sum is σ = 185546160. Its totient is φ = 15016960.

The previous prime is 56323199. The next prime is 56323207. The reversal of 56323200 is 232365.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (56323207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6667 + ... + 12533.

Almost surely, 256323200 is an apocalyptic number.

56323200 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 56323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92773080).

56323200 is an abundant number, since it is smaller than the sum of its proper divisors (129222960).

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

56323200 is a wasteful number, since it uses less digits than its factorization.

56323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 56323200 is about 7504.8784134055. The cubic root of 56323200 is about 383.3208481546.

Adding to 56323200 its reverse (232365), we get a palindrome (56555565).

The spelling of 56323200 in words is "fifty-six million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 5867 9600 11734 17601 23468 29335 35202 46936 58670 70404 88005 93872 117340 140808 146675 176010 187744 234680 281616 293350 352020 375488 440025 469360 563232 586700 704040 750976 880050 938720 1126464 1173400 1408080 1760100 1877440 2252928 2346800 2816160 3520200 3754880 4693600 5632320 7040400 9387200 11264640 14080800 18774400 28161600 56323200