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461431813 = 9717772677
BaseRepresentation
bin11011100000001…
…110010000000101
31012011021011110011
4123200032100011
51421111304223
6113442030221
714302051153
oct3340162005
91164234404
10461431813
11217514607
1210a648371
13747a019b
14453d63d3
152a79a80d
hex1b80e405

461431813 has 8 divisors (see below), whose sum is σ = 466625432. Its totient is φ = 456247296.

The previous prime is 461431801. The next prime is 461431837. The reversal of 461431813 is 318134164.

It can be written as a sum of positive squares in 4 ways, for example, as 986049 + 460445764 = 993^2 + 21458^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 461431813 - 25 = 461431781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461431913) 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, 171031 + ... + 173707.

It is an arithmetic number, because the mean of its divisors is an integer number (58328179).

Almost surely, 2461431813 is an apocalyptic number.

It is an amenable number.

461431813 is a deficient number, since it is larger than the sum of its proper divisors (5193619).

461431813 is a wasteful number, since it uses less digits than its factorization.

461431813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551.

The product of its digits is 6912, while the sum is 31.

The square root of 461431813 is about 21480.9639681277. The cubic root of 461431813 is about 772.7443607852.

Adding to 461431813 its reverse (318134164), we get a palindrome (779565977).

The spelling of 461431813 in words is "four hundred sixty-one million, four hundred thirty-one thousand, eight hundred thirteen".

Divisors: 1 97 1777 2677 172369 259669 4757029 461431813