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45985471 = 722933203
BaseRepresentation
bin1010111101101…
…0111010111111
310012112022012121
42233122322333
543233013341
64321343411
71065604300
oct257327277
9105468177
1045985471
1123a59624
1213497b67
1396b104c
1461707a7
1540854d1
hex2bdaebf

45985471 has 12 divisors (see below), whose sum is σ = 53692632. Its totient is φ = 39269328.

The previous prime is 45985439. The next prime is 45985507. The reversal of 45985471 is 17458954.

It is not a de Polignac number, because 45985471 - 25 = 45985439 is a prime.

It is a super-3 number, since 3×459854713 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45985171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12756 + ... + 15958.

It is an arithmetic number, because the mean of its divisors is an integer number (4474386).

Almost surely, 245985471 is an apocalyptic number.

45985471 is a deficient number, since it is larger than the sum of its proper divisors (7707161).

45985471 is a wasteful number, since it uses less digits than its factorization.

45985471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3503 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The square root of 45985471 is about 6781.2588064459. The cubic root of 45985471 is about 358.2670598666.

The spelling of 45985471 in words is "forty-five million, nine hundred eighty-five thousand, four hundred seventy-one".

Divisors: 1 7 49 293 2051 3203 14357 22421 156947 938479 6569353 45985471