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56460196 = 22132174
BaseRepresentation
bin1101011101100…
…0001110100100
310221020110211101
43113120032210
5103423211241
65334045444
71253621662
oct327301644
9127213741
1056460196
1129963421
1216aa9884
13b90aa00
1476d9c32
154e53e31
hex35d83a4

56460196 has 45 divisors (see below), whose sum is σ = 113677221. Its totient is φ = 24525696.

The previous prime is 56460181. The next prime is 56460199. The reversal of 56460196 is 69106465.

The square root of 56460196 is 7514.

It is a perfect power (a square), and thus also a powerful number.

56460196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 17222500 + 39237696 = 4150^2 + 6264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56460199) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 3321180 + ... + 3321196.

Almost surely, 256460196 is an apocalyptic number.

56460196 is the 7514-th square number.

It is an amenable number.

56460196 is an abundant number, since it is smaller than the sum of its proper divisors (57217025).

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

56460196 is an equidigital number, since it uses as much as digits as its factorization.

56460196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The cubic root of 56460196 is about 383.6313827353.

It can be divided in two parts, 56460 and 196, that multiplied together give a triangular number (11066160 = T4704).

The spelling of 56460196 in words is "fifty-six million, four hundred sixty thousand, one hundred ninety-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 578 676 884 1156 2873 3757 4913 5746 7514 9826 11492 15028 19652 48841 63869 83521 97682 127738 167042 195364 255476 334084 830297 1085773 1660594 2171546 3321188 4343092 14115049 28230098 56460196