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56460032 = 282343223
BaseRepresentation
bin1101011101100…
…0001100000000
310221020110121022
43113120030000
5103423210112
65334045012
71253621336
oct327301400
9127213538
1056460032
1129963292
1216aa9768
13b90a905
1476d9b56
154e53d72
hex35d8300

56460032 has 72 divisors (see below), whose sum is σ = 120873984. Its totient is φ = 26256384.

The previous prime is 56460031. The next prime is 56460037. The reversal of 56460032 is 23006465.

It is a junction number, because it is equal to n+sod(n) for n = 56459983 and 56460010.

It is not an unprimeable number, because it can be changed into a prime (56460031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253073 + ... + 253295.

Almost surely, 256460032 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 56460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60436992).

56460032 is an abundant number, since it is smaller than the sum of its proper divisors (64413952).

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

56460032 is a wasteful number, since it uses less digits than its factorization.

56460032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 56460032 is about 7513.9890870296. The cubic root of 56460032 is about 383.6310112901.

Adding to 56460032 its reverse (23006465), we get a palindrome (79466497).

The spelling of 56460032 in words is "fifty-six million, four hundred sixty thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 128 172 184 223 256 344 368 446 688 736 892 989 1376 1472 1784 1978 2752 2944 3568 3956 5129 5504 5888 7136 7912 9589 10258 11008 14272 15824 19178 20516 28544 31648 38356 41032 57088 63296 76712 82064 126592 153424 164128 220547 253184 306848 328256 441094 613696 656512 882188 1227392 1313024 1764376 2454784 3528752 7057504 14115008 28230016 56460032