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546490973 = 72106910433
BaseRepresentation
bin100000100100101…
…100101001011101
31102002022121200102
4200210230221131
52104400202343
6130121110445
716354045100
oct4044545135
91362277612
10546490973
11260530836
12133028425
13892b2252
1452818737
1532e9d3b8
hex2092ca5d

546490973 has 12 divisors (see below), whose sum is σ = 636369660. Its totient is φ = 467937792.

The previous prime is 546490969. The next prime is 546491083. The reversal of 546490973 is 379094645.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 304781764 + 241709209 = 17458^2 + 15547^2 .

It is not a de Polignac number, because 546490973 - 22 = 546490969 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 (546490933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47165 + ... + 57597.

It is an arithmetic number, because the mean of its divisors is an integer number (53030805).

Almost surely, 2546490973 is an apocalyptic number.

It is an amenable number.

546490973 is a deficient number, since it is larger than the sum of its proper divisors (89878687).

546490973 is a wasteful number, since it uses less digits than its factorization.

546490973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516 (or 11509 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 546490973 is about 23377.1463827388. The cubic root of 546490973 is about 817.5751151571.

The spelling of 546490973 in words is "five hundred forty-six million, four hundred ninety thousand, nine hundred seventy-three".

Divisors: 1 7 49 1069 7483 10433 52381 73031 511217 11152877 78070139 546490973