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497087973 = 32173248941
BaseRepresentation
bin11101101000001…
…111010111100101
31021122100200111200
4131220033113211
52004223303343
6121154153113
715214115034
oct3550172745
91248320450
10497087973
11235658608
1211a582799
137bca57c5
144a03871b
152d9904d3
hex1da0f5e5

497087973 has 12 divisors (see below), whose sum is σ = 760252428. Its totient is φ = 311898240.

The previous prime is 497087971. The next prime is 497087999. The reversal of 497087973 is 379780794.

497087973 is a `hidden beast` number, since 497 + 0 + 87 + 9 + 73 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 419348484 + 77739489 = 20478^2 + 8817^2 .

It is not a de Polignac number, because 497087973 - 21 = 497087971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497087971) 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 11 ways as a sum of consecutive naturals, for example, 1624318 + ... + 1624623.

It is an arithmetic number, because the mean of its divisors is an integer number (63354369).

Almost surely, 2497087973 is an apocalyptic number.

It is an amenable number.

497087973 is a deficient number, since it is larger than the sum of its proper divisors (263164455).

497087973 is a wasteful number, since it uses less digits than its factorization.

497087973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248964 (or 3248961 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 497087973 is about 22295.4697864835. The cubic root of 497087973 is about 792.1566733590.

The spelling of 497087973 in words is "four hundred ninety-seven million, eighty-seven thousand, nine hundred seventy-three".

Divisors: 1 3 9 17 51 153 3248941 9746823 29240469 55231997 165695991 497087973