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461132189 = 729410861
BaseRepresentation
bin11011011111000…
…101000110011101
31012010200221102222
4123133011012131
51421022212224
6113431355125
714266362500
oct3337050635
91163627388
10461132189
1121732a491
1210a522aa5
13746c69ab
1445359137
152a73bb5e
hex1b7c519d

461132189 has 6 divisors (see below), whose sum is σ = 536419134. Its totient is φ = 395256120.

The previous prime is 461132173. The next prime is 461132201. The reversal of 461132189 is 981231164.

It can be written as a sum of positive squares in only one way, i.e., 389391289 + 71740900 = 19733^2 + 8470^2 .

It is not a de Polignac number, because 461132189 - 24 = 461132173 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461132159) 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 5 ways as a sum of consecutive naturals, for example, 4705382 + ... + 4705479.

It is an arithmetic number, because the mean of its divisors is an integer number (89403189).

Almost surely, 2461132189 is an apocalyptic number.

461132189 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

461132189 is a deficient number, since it is larger than the sum of its proper divisors (75286945).

461132189 is an equidigital number, since it uses as much as digits as its factorization.

461132189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410875 (or 9410868 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 461132189 is about 21473.9886607030. The cubic root of 461132189 is about 772.5770678201.

The spelling of 461132189 in words is "four hundred sixty-one million, one hundred thirty-two thousand, one hundred eighty-nine".

Divisors: 1 7 49 9410861 65876027 461132189