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461000164 = 22563204707
BaseRepresentation
bin11011011110100…
…100110111100100
31012010110020100011
4123132210313210
51421004001124
6113424500004
714265302542
oct3336446744
91163406304
10461000164
1121724a279
1210a47a604
137467b881
1445322d92
152a712994
hex1b7a4de4

461000164 has 12 divisors (see below), whose sum is σ = 808187184. Its totient is φ = 230089544.

The previous prime is 461000159. The next prime is 461000167.

461000164 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (461000167) 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 3 ways as a sum of consecutive naturals, for example, 100102 + ... + 104605.

It is an arithmetic number, because the mean of its divisors is an integer number (67348932).

Almost surely, 2461000164 is an apocalyptic number.

It is an amenable number.

461000164 is a deficient number, since it is larger than the sum of its proper divisors (347187020).

461000164 is a wasteful number, since it uses less digits than its factorization.

461000164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205274 (or 205272 counting only the distinct ones).

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

The square root of 461000164 is about 21470.9143727043. The cubic root of 461000164 is about 772.5033295835.

It can be divided in two parts, 461000 and 164, that added together give a palindrome (461164).

The spelling of 461000164 in words is "four hundred sixty-one million, one hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 563 1126 2252 204707 409414 818828 115250041 230500082 461000164