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56218368 = 283711031
BaseRepresentation
bin1101011001110…
…1001100000000
310220210012002210
43112131030000
5103342441433
65324542120
71251563643
oct326351400
9126705083
1056218368
1129808768
12169b1940
13b85490b
147675a5a
154e07463
hex359d300

56218368 has 72 divisors (see below), whose sum is σ = 151877376. Its totient is φ = 18457600.

The previous prime is 56218333. The next prime is 56218369. The reversal of 56218368 is 86381265.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56218369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54013 + ... + 55043.

It is an arithmetic number, because the mean of its divisors is an integer number (2109408).

Almost surely, 256218368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75938688).

56218368 is an abundant number, since it is smaller than the sum of its proper divisors (95659008).

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

56218368 is a wasteful number, since it uses less digits than its factorization.

56218368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1107 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 56218368 is about 7497.8909034474. The cubic root of 56218368 is about 383.0828808038.

The spelling of 56218368 in words is "fifty-six million, two hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 1031 1136 1704 2062 2272 3093 3408 4124 4544 6186 6816 8248 9088 12372 13632 16496 18176 24744 27264 32992 49488 54528 65984 73201 98976 131968 146402 197952 219603 263936 292804 395904 439206 585608 791808 878412 1171216 1756824 2342432 3513648 4684864 7027296 9369728 14054592 18739456 28109184 56218368