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461000461 = 1014619901
BaseRepresentation
bin11011011110100…
…100111100001101
31012010110020202011
4123132210330031
51421004003321
6113424501221
714265303445
oct3336447415
91163406664
10461000461
1121724a519
1210a47a811
137467ba4c
1445323125
152a712ae1
hex1b7a4f0d

461000461 has 8 divisors (see below), whose sum is σ = 466621848. Its totient is φ = 455400000.

The previous prime is 461000447. The next prime is 461000467. The reversal of 461000461 is 164000164.

It can be written as a sum of positive squares in 4 ways, for example, as 276556900 + 184443561 = 16630^2 + 13581^2 .

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 461000461 - 25 = 461000429 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 (461000467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41611 + ... + 51511.

It is an arithmetic number, because the mean of its divisors is an integer number (58327731).

Almost surely, 2461000461 is an apocalyptic number.

It is an amenable number.

461000461 is a deficient number, since it is larger than the sum of its proper divisors (5621387).

461000461 is a wasteful number, since it uses less digits than its factorization.

461000461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 461000461 is about 21470.9212890365. The cubic root of 461000461 is about 772.5034954789.

The spelling of 461000461 in words is "four hundred sixty-one million, four hundred sixty-one", and thus it is an aban number.

Divisors: 1 101 461 9901 46561 1000001 4564361 461000461