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854149465 = 51319289409
BaseRepresentation
bin110010111010010…
…100100101011001
32012112020021210101
4302322110211121
53222130240330
6220431215401
730111102451
oct6272244531
92175207711
10854149465
113a9166154
121ba077561
13107c61bb0
1481622d61
154eec14ca
hex32e94959

854149465 has 48 divisors (see below), whose sum is σ = 1180947600. Its totient is φ = 589400064.

The previous prime is 854149451. The next prime is 854149487. The reversal of 854149465 is 564941458.

It is a happy number.

854149465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 29942784 + 824206681 = 5472^2 + 28709^2 .

It is not a de Polignac number, because 854149465 - 217 = 854018393 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2088181 + ... + 2088589.

It is an arithmetic number, because the mean of its divisors is an integer number (24603075).

Almost surely, 2854149465 is an apocalyptic number.

It is an amenable number.

854149465 is a deficient number, since it is larger than the sum of its proper divisors (326798135).

854149465 is a wasteful number, since it uses less digits than its factorization.

854149465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 535 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The square root of 854149465 is about 29225.8355740259. The cubic root of 854149465 is about 948.8071695625.

The spelling of 854149465 in words is "eight hundred fifty-four million, one hundred forty-nine thousand, four hundred sixty-five".

Divisors: 1 5 13 19 65 89 95 247 361 409 445 1157 1235 1691 1805 2045 4693 5317 5785 7771 8455 21983 23465 26585 32129 36401 38855 101023 109915 147649 160645 182005 417677 473213 505115 691619 738245 1919437 2088385 2366065 3458095 8991047 9597185 13140761 44955235 65703805 170829893 854149465