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461648196 = 223235812
BaseRepresentation
bin11011100001000…
…011000101000100
31012011200011021100
4123201003011010
51421140220241
6113450420100
714303642052
oct3341030504
91164604240
10461648196
11217652139
1210a731630
1374847819
14454511d2
152a7de9b6
hex1b843144

461648196 has 27 divisors (see below), whose sum is σ = 1167270013. Its totient is φ = 153839760.

The previous prime is 461648189. The next prime is 461648197. The reversal of 461648196 is 691846164.

The square root of 461648196 is 21486.

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

It can be written as a sum of positive squares in only one way, i.e., 411521796 + 50126400 = 20286^2 + 7080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461648197) 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 8 ways as a sum of consecutive naturals, for example, 127126 + ... + 130706.

Almost surely, 2461648196 is an apocalyptic number.

461648196 is the 21486-th square number.

It is an amenable number.

461648196 is an abundant number, since it is smaller than the sum of its proper divisors (705621817).

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

461648196 is an equidigital number, since it uses as much as digits as its factorization.

461648196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 3586 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 461648196 is about 772.8651316902.

The spelling of 461648196 in words is "four hundred sixty-one million, six hundred forty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3581 7162 10743 14324 21486 32229 42972 64458 128916 12823561 25647122 38470683 51294244 76941366 115412049 153882732 230824098 461648196