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56302112 = 255389373
BaseRepresentation
bin1101011011000…
…1101000100000
310220221102222102
43112301220200
5103403131422
65330425532
71252363046
oct326615040
9126842872
1056302112
1129865679
1216a322a8
13b883a79
147698396
154e22192
hex35b1a20

56302112 has 48 divisors (see below), whose sum is σ = 114511320. Its totient is φ = 27236352.

The previous prime is 56302109. The next prime is 56302121. The reversal of 56302112 is 21120365.

It can be written as a sum of positive squares in 4 ways, for example, as 46840336 + 9461776 = 6844^2 + 3076^2 .

It is an unprimeable number.

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, 150758 + ... + 151130.

Almost surely, 256302112 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 56302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57255660).

56302112 is an abundant number, since it is smaller than the sum of its proper divisors (58209208).

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

56302112 is a wasteful number, since it uses less digits than its factorization.

56302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 56302112 is about 7503.4733290657. The cubic root of 56302112 is about 383.2730023936.

Adding to 56302112 its reverse (21120365), we get a palindrome (77422477).

The spelling of 56302112 in words is "fifty-six million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 89 106 178 212 356 373 424 712 746 848 1424 1492 1696 2848 2984 4717 5968 9434 11936 18868 19769 33197 37736 39538 66394 75472 79076 132788 150944 158152 265576 316304 531152 632608 1062304 1759441 3518882 7037764 14075528 28151056 56302112